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Joseph Brian Roswell
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Inequalities with Variables
Added Sep 14, 2022
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any parties again these are conditions and we are going to be grabbing our final answer to our variable my reminders greater than less than symbols were talking about as Open Circles is not buckled in less than equal to or greater than equal to symbol or talking about a circle that is bubbled in or close as they call it and three primary steps that we're going to follow number one as we are always going to solve for the variable and the first step is to get rid of what we call the constant that is something without the variable to the other side of your inequality symbol and we list for the reciprocal + 303 about time is you didn't answer you on the 8th grade math he's class and that does not have a variable it's going to be called the Y intercept and for some of you going to introduce that concept to you once you get really good with this as well as a fraction as part of your variables as you're efficient okay and I'm going to show you some tricks with that but this is going to Bentley change from the word constant to the Y intercept and I'll show you that when we get to our tracking unit coordinate plane then Step 2 by the coefficient on both sides of the inequality symbol to solve for your variable right and the reason why we do this because you want the value of a coefficient become one 1 times your variable is your variable man last one is great you're available statement and I'm going to even show you a pic today that's even quicker than what I've been tryna then you'll be driving it The Watch please pay attention I'm going to move over here real quick we're going to do this example okay here we go Mama Tried I want you to listen to how I'm saying this out loud and it's going to be so clear dad you are going to think wow why didn't Mr also think of this earlier watch out stupid as his you just saying your head as I'm saying this out loud right now -5 alligator mouth is open to my X my variable variable side which is the left I see that my inequality symbol and is open to buy X you see that so therefore as we said this is two dots versus only one. Right here so you say this is this side my day what side is greater or larger or is it smaller this crater is this alligator mouth is over so now if that's the case watch what I do add cuz my variable is greater or less greater greater and keep it to the side and you're going to see how simple this is now what is my and they access e. Varsity. what is me, and eventually it's going to become something else when you get the eighth grade math and this symbol represents any quad and equality the first rule says to move the constant unavailable side other side of the inequality so now I got to add this become zero rated n man this too which is your station get rid of the koi fish and I said step 22 over to DeKalb is it really a zero what are we doing riding I need you to think before you just call out okay 2 / 2 is 101 X anything because lacrosse is at this I just copy the symbol over two or eight divided by 24 so now with my answer watch what I do what I did I just placed it and I didn't know I've already created my statements I've already finished step 3 now I took my answer for my variable when I solve it and just now I am going to create my number line 0 1 2 3 4 5 6 7 8 1 2 3 4 5 6 3 4 5 67 South Park - 1 - 2 and we know that anything to the right of 0 positive values 10 the com- values and those are integers right so now I find where for is located on my number line and where is so I put my finger on it what symbol is it open or closed open now I open and creative Circle is greater line what direction makes a number look Raider moving to the right or left now. when will they do another one where I have the variable on the right hand side of the inequality symbol I will still follow our steps label as we did solve this one questions so far times of what you saw when I just wrote all of this up here to make sure that it starts recalibrated. sorry all right so here we go I am going now move my camera over to this problem here I know you lift us up we are we are we are we are all right let me see if I can get some of the rules right the mouse again any qualities greater than less than symbols we are only an open circle last night greater than equal to symbols are Bubble Dan or close as we call it we're going to move the car fan from the variable side to the other side by the reciprocal math Opera navigate divide the coefficient on both sides to isolate the value for my variable and when we do that we're always going to get 10K at 1 then we're going to create your own variable statement by weird already going to start this process earlier than you think okay so I'm going to stay up here so you can see it again I look at this Express I'm going to say 17 well what direction is the alligator mouth facing the 1717 is going to be on the right hand side why must become what less than one God versus two dots inside so you get one so I'm going to write this why man too and then whatever number I'm going to put in my box here and we know a symbol is it a open or closed circle look at it yeah so I'm going to put just get myself a head start gold Circle right now I'm just going to go label this 17 is 8 this is an inequality symbol the three is a coefficient is the marionette a good job like your participation of variable and the four is a number one guy's what is my constant second floor so I have to get rid of a negative or through a lot to do with the other side now this become zero and now I guess I just copy everything the way it is please do not do anything else this is 21 this tree is a what is a 360 now when we do this are at active our goal is to always get one this or any number over the same number will be 11 why it is 21 / 30 * 1 is also it's what so now I bring my 7 and I'm going to slit my seven my answer please don't take this from the original and place it in your please don't do that my answer and I'm just wasted in now I can create a what that is a number line 0 two three four five six seven eight nine ten I wish I could have been live it more equally spaced I won't count off for mr. Roswell but I will cut off you got that is so unfair guys all right so I find where 7 is located near it is and have my finger on it and what kind of circle and they wrote my statement why is less all right what direction is left to the right or left I want to give you a box 30 seconds just to absorb the thing that we just accomplished this process look observe talking to you thank you I'm not talking to you guys right now I just wanted you to look at what we just accomplished I think the biggest thing for me is that you guys start taking notes when you see problems that are very similar to what we do in class whenever you're doing homework whenever you're given assessment a project so that way this the more you start taking the active notes throughout all of this was I in complete silence I just started working or did I talk it all out power of talking it out you are really trying to reduce the amount of work you're doing cuz you're forcing your ears to listen to what your mouth the same and now it's saying where your eyes are seeing then all of it your eyes your mouth and your ears forces your brain to sort of process information and then they allow your hands to do work and it works this way. OK Google. Open to it so is 7 greater than equal to y - 4 or I can say is the variable sign is on the ride so if I am going to start my why what kind of in a quiet and was pointed to it close alligator mouth those names are going to be smaller this whole side which is my variable is to be smaller and what whatever I saw so that's why I put why is less than equal to I start solving just like regular equations we did without the inequality we had two equal sides instead same thing we solve for a b this time we're just adding little piece to it and wrapping it
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