Solve Inequalities Using Multiplication and Division - Example 2
Solve Inequalities Using Multiplication and Division - Example 3
Solve Inequalities Using Multiplication and Division - Example 4
Solve Inequalities Using Multiplication and Division - Overview
Solve Multi-Step Inequalities - Example 1
Syracuse University
Solve Inequalities Using Multiplication and Division - Example 1


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Video Transcript

we're being asked to salt a given in the quality and then we're gonna graph the solution set on number one. So let's think about how we would isolate X. Remember, we saw just like we went in the presion. So they get X by itself. We would need to divide both sides of our inequality by a negative three. Now, remember the rule we just talked about in the overview? Because we're dividing both sides by a negative value, we have to flip our inequality side. Therefore, the less than or equal to sign will become a greater than or equal to sign. So no, this or equal to still comes down. Okay, Now, on the right hand side, we do our division, just like normal 33 divided by negative three is negative 11. So now we have solved our inequality. And again we could check by substituting any value in to our original inequality that greater, greater than or equal to negative 11 and you'll find you get a true statement. So let's go ahead and graph our solution set. So we're going to set up our number line. We'll put our critical number negative 11 in the middle, then we determined, should be used in open or close circle. Well, because negative 11 is part of our solution set because it's or equal to we're gonna have a close circle. Next. We need to figure out if we're going to shade to the left or to the right. Well, because X is greater than or equal to negative 11. The values that would be greater than negative 11 are to the right, so we're going to shade the right hand side of our number line. So now we have solved and graft the solution set toe our original inequality.