So in this example, we're being asked assault to given inequality and then we need to graft the solution set on a number line. So remember, solving inequality is just like solving an equation. What we need to do first is isolate are variable. Well, what's happening? Toe X. What? We're adding eight to it so they get X by itself. We're simply going to subtract eight from both sides of her inequality because eight minus a 20 So these terms canceled. So now we're left with X is less than or equal to, Well, negative two minus eight is negative. 10. So now we've solved our inequality. The next thing we want to do is graft the solutions that on the number line so we can start by setting up our number line here. Remember, we only need to put our critical value of negative 10. So remember the first thing to graph this is we need to figure out, should this be an open circle or a close circle? Well, negative 10 is a solution to this because negative 10 would be less than or equal to negative 10. So we're gonna have a close circle here in negative 10. So the next thing we need to do is figure out. Should we shade to the left of negative 10 or to the right of negative 10? Well, because our solution said is that X has to be less than or equal to negative 10. The values of X that would be less than negative 10 would occur to the left. So we're going to shade the left hand side of our number line. So now we have graft. Our solution set on a number line.

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## Video Transcript

So in this example, we're being asked assault to given inequality and then we need to graft the solution set on a number line. So remember, solving inequality is just like solving an equation. What we need to do first is isolate are variable. Well, what's happening? Toe X. What? We're adding eight to it so they get X by itself. We're simply going to subtract eight from both sides of her inequality because eight minus a 20 So these terms canceled. So now we're left with X is less than or equal to, Well, negative two minus eight is negative. 10. So now we've solved our inequality. The next thing we want to do is graft the solutions that on the number line so we can start by setting up our number line here. Remember, we only need to put our critical value of negative 10. So remember the first thing to graph this is we need to figure out, should this be an open circle or a close circle? Well, negative 10 is a solution to this because negative 10 would be less than or equal to negative 10. So we're gonna have a close circle here in negative 10. So the next thing we need to do is figure out. Should we shade to the left of negative 10 or to the right of negative 10? Well, because our solution said is that X has to be less than or equal to negative 10. The values of X that would be less than negative 10 would occur to the left. So we're going to shade the left hand side of our number line. So now we have graft. Our solution set on a number line.

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