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System of Inequalities PART 3

Added Jan 06, 2023 •

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System of Inequalities PART 3

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all right what's going on y'all it's your math teacher Miss Harris and I'm back with another video alright so today we are still dealing with each you nine systems and then you turn off my email one second I was recording right here today we are going to learn how to write inequalities okay so we are I'm with graphing we are done with trying to find the or the solutions to the ordered pairs or like finding like the solution set where this the blue side or the other side of the green side we're done with all that I feel like you guys should be confident enough to know how to grab two lines and mix the correctly if you don't holler at me and let me know and I will help you with that but if not we are going to go ahead and move straight forward so what I need you to do right now I need you to pause your screen and before we start writing inequalities I need you guys to write down five steps of course I will go over these five steps with you each time we do this process to make sure that you guys are successful in knowing how to write anybody's okay to go ahead and get your nose make sure you have a pencils on the right with whatever whatever and let's go ahead and write down these five steps okay here we go all right here we go so hopefully you guys are taking the time to write down these five steps to Nellie Meeks play me size this before we go ahead and move on to our first example okay so what's going to happen is when you are writing inequalities with Harrison's going to give you a graph all right so on this graph what's going to happen if you were going to see two different lines you may see a solid and added to solid lines or two. That lines a pink whatever the case maybe you guys will see two different lines you're going to figure out what's happening here so you're going to figure out what type of line you have you're going to figure out where this line is shaded weather is above or below and by doing these two things first you alright are we going to be able to figure out what kind of inequality sign you need okay so I can install it and above you know it's going to be greater than or equal to if it's solid and Below it's going to be less than or equal to if it. It in above is going to be greater than it is. below is going to be less than okay so what you narrow that down with you figure that out everything else is gravy like it's really really simple after that you will figure out where you going to start on a graph where does that line start where did the fall or meet the Y intercept okay then from there you have to be out where are we going like what what is our slow what's a rise over run how much are we going up instead of right or down and to the right or up and to the left or down it's okay so we're going to we're going to look at all of those is today and then once we find out those four steps of the fifth step is the easiest step to put it all together and Y equals MX plus b format okay once y'all get in the hang up once I start pricing this is super super simple aren't so here we go. All right so the question that you're going to frequently hear me asking this video is what do you notice okay what do you know hasn't answered places over here to the side but my main thing is that you guys even if you don't have any answers choices you guys know how to write these yourself okay so what's going to happen is we're going to look at these two lines we got a pink line we got a blue line okay so we're going to look at pink line first so I'm going to write that and read cuz it's supposed to color I have to pee but okay alright so we're going to see what do we know about the pink line well with the pink line the very first thing I noticed is that it's a. pink line is dotted the second thing I noticed about the pink line is that when you look at this pink line right here it's shaded but low so automatically once I know that it's a dotted line and it's shaded below my in equality sign is it going to be less than okay that's a sign that I need everything else I forgot was going to be super super super simple K I got to figure out where am I going to start well I'm going to start wherever this pink line hits the y-axis and right now that is at zero started zero then I got to figure out how to get to the next one so that's where I remember that's where you're going to cross okay it's where your lines are going to cross the even if I started here at this negative 6 how would I get 20 well I will have to go down one and a half over 1 2 3 4 5 6 7 go down one and to the right 6 guys down one to the right six let's try that again make sure that works I want to the right 1 2 3 4 5 6 K so that means that my slowcore my rise over run is going to be down one which means I'm going to have a -1 / 6 so now that I know all this information I can you do the last step and put this in y equals MX plus b now when you're putting it in the Carly and Y equals MX plus b already be clicking in your brain the first letter or the first variable you need is why okay after you put why instead of an equal thought you're going to put the inequality sign that you already figured out that you need in this case is West and so we have y is less than next you're going to put your slow for your rise over run which is - 1 R6 don't forget that X and then you just have to put where you're going to start that's the last part that you put which is plus or minus zero okay so we're going to start a zero radio. 1 in / 6 K and we know this less than because it's a dotted line and we shaded below right now let's do the same thing but now we're going to collect some information about the blue bluegrass. that he would go this blue line first thing I notice about the blue light is that it is solid the next thing I notice about look at this blue line I am shaving above it so if I'm stating above and a solid line that means that the the inequality sign that I'm going to need is greater than or equal to then I've got to figure out what where am I going to start let me erase these ridges a bit of it thank just so I can figure out where I'm going so here I am on this blue line where does this blue line meet the y axis well it's here at - 1 that means I'm going to start at - 1 then I've got to figure out how to get to the next point oh here where my mom's cross is where the next one is and here is where the land so even if I start to hear what would I have to do I would have to go up one and over one two three four five I'm going to go up 1:10 to the right I will try that again if I'm here going to go up one and over 1 2 3 4 5 so that means that my slope where my rise over run is going to be 1/5 K I can now go ahead and write out my inequality remember when you was in the you know the first beer boo you need is why guiding you need your symbol which we already figured out is greater than or equal to that you're going to put your slow pour your rise over run which is 1/5 and don't forget that X in the last but not least put where you started on the graph and that's - 1 or a nice one and that's it that's all you have to do you write a system of equations that match the grass okay and if you look at these answer choices that is going to match answer choice because why is less than -1 6X forget their 0k that matches at 1 and then why is greater than or equal to 150 x minus one that matches this and that we were down here let's go ahead and move on to the next one which I want to get her and I'll let you do the last one on your own all right here we go so this one I'm going to ask you once again what do you know it's name is Harrison going to help you out a little bit because I know that is not colored so imma get a highlighter yellow the song I was going to be yellow and then the dotted one I'm just going to do blue I'm never going to figure out what information we know about both lines okay let's see here I'm going to do yellow first let's see what we notice with the yellow we know it is a solid line then we notice if we look here where shading above that line you always got to look at this here shade above so that means that I'm going to need greater than or equal then I got to figure out where I'm going to start where does this yellow line hit the y-axis and hits it at positive one so I'm going to start at 1 someone then I got to figure out how to to the next one we're just going to say that point is right here okay so I look here Ear Force are here I'm going to go up one up to Andover one and if I did it again I'm going to go up to over 1 and they hit that line let me see my rise over run is going to be 2 / 1 alright summarizer what is 2 / 1 and then I got everything I need I think so I can go ahead and make my inequality do remember when you make your anybody that has to be why cuz it makes us be that means you have to start with the variable why then your a December which is greater than or equal to then you're going to put your rise of run of your slope next which is 2/1 don't forget that X and then last but not least put where you start which is positive one and your dad so now let's go ahead and do the now the blue line is a little tricky because it's a special case remember let's go ahead and start with the blue what do we notice with the blue first thing we noticed that is a dotted line anwesha I did above we stayed above this case up his daughter and above that means I need a greater than K I got to figure out where I start I'm going to start also at 1 but there is no slope so there's no slow and we're on the y-axis that means I'm going to have the y-axis I've got one and then I just need my symbol and I'm doing okay and that's going to match which answer Choice Y is greater than or equal to 20 X or 2X I think it's the last one now this next one you guys are going to do on your own number on check it together so here we go and see what we got all right so again this one is in black and white so I'm going to put some color on it so you know how lighters do red and yellow this time red and yellow so make sure you remember your five steps okay though you need to look at what type of line you have that's number one then look at where you're lying is dating that's number two that's going to narrow down and what kind of sign you need to use the number 3 you need to see where you are going to start on your graph on the y-axis the number for tell me where you are going okay tell me why the rent a slow poke do you know all four of those things that you can create your inequality go ahead and try this one on your own and then we'll check it together okay here we go all right so hopefully you guys are taking the time to go ahead and go over this one wish take it to whether we will start with the red line go ahead red change this to read all right so he we got what we noticed that the redline well first and foremost you guys should have known that if they say wait line then when she realized it's a solid line once you look at it you notice it is shaded above so that means you're going to need greater than or equal to as you're in equality sign then you got to figure out where are you start on the y-axis that's a positive to start at positive then you got to figure out how to get to the next point and pay so your next one's going to be where they cross so here's where they cross that means you need to go down one it over 1 to 3 so you going to go down Born Into the right three so that means it's your rise over run is going to be -1/3 so now that you know this you can go ahead and write your any quality is going to be Y is greater than or equal to negative one third X Plus X if you got that right congratulation if not. Kaiba see if you got the yelling all right so with the yellow one we need to see what kind of line it is first of all so yellow we know what's. It and then once you look at this. I need to see where it is shaded and unshaded below the line so that means we're going to need less than Hazard symbol then when you look at this you have to figure out where is this yellow line hitting the y a well it's hitting it at -3 so we're going to start add -3 then once you started - 3 got to figure out how do we get to this next point where my lines cross and that's the one we're going to go up 1/2 + 3 + 0 so if we go up 3 and to the right one that means the our rise over run is it going to be 3 / 1 so now we got all of our information to write inequality that means we're going to start with Y is less than 3/1 X or just 3 x - 3 if you got that one right awesome job if not you got plenty of chances to again on your worksheet for this week the part 3 worksheet and it's nail upload it to your timeline so you can go ahead and get that done and let's just make sure which which are we got so - 1/3 x + 2 that's that one that matches and then up nope are we at - 1/3 x let's do I'm thinking less than these answers choices a run okay so do not pay attention to these answers choices because help me out here it is it's the first one is correct so now let's go ahead and move on to the very end you guys already know what to do hit me up when they're be email or the BB a texting I'm remind I'm just let me know what you guys need I am always always always here if you need me schedule something with me if you don't understand going on in class I'm asking many questions as you want to get as much help as you want to I am here to help you guys to exceed okay. Please please please let me know whatever it is you need I love you guys and I thank you guys for consistently watching the videos and take a note doing your Elliott test are you taking the quiz is like doing what you were supposed to be doing you guys are rockstars you guys are awesome awesome awesome I hope everything is going well with this is burning like I said I'm always here if you need me okay so until next time y'all have a great day and I'll see y'all later

Uploaded by Kristen Harris.

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System of Inequalities PART 3

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