In Exercises 51–58, solve each compound inequality.

6

Question

In Exercises 51–58, solve each compound inequality.

6 < x + 3 < 8

Accepted Answer

Hello today we're going to be solving the compound inequality. So the compound inequality given to us is eight less than the quantity X plus two which is less than 14. Now, what it means to solve the compound inequality is we want to go ahead and isolate this variable X. And in order to do that, we want to get rid of this positive to turn to get rid of the positive two. We want to go ahead and subtract two from all sides of this compound inequality. Now eight minus two is going to give us six and that's going to be less than the quantity X plus two minus two which is going to leave us with X. And that is going to be less than 14 minus two which is 12. And that means that this is going to be the solution to the compound inequality. And that also means that the answer to this problem is going to be C. So I hope this video helps you in understanding how to solve the compound inequality and I'll go ahead and see you all in the next video.

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