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Linear inequalities

Linear inequalities

From the course: Test Prep: GRE

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Linear inequalities

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- [Voiceover] So I'll start off by showing you an example of a linear inequality. So an inequality is generally gonna have a greater than or a less than sign in it. So here is an example for you. If I have two x plus five, instead of saying that equals thirteen, I'm going to say it's more than thirteen. Well, this situation is not a whole lot different than solving a linear equation. All we have to do is isolate x, and then we'll know, not what x is equal to, but what it's greater than, in this case. So let's see if we can do that. We'll subtract five from both sides, so we'll end up with two x is greater than eight, and then I'll divide both sides by two. I'll end up with x is greater than four. So x is any number bigger than four, in that case. That's our solution for the inequality. Let me show you another example where something kind of weird goes on. If I have negative two x, this time, plus five is greater than thirteen, if I solve it, I get minus five from both sides. And I get…

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