Question

(01.05 LC)

Which of the following is an equivalent form of the compound inequality -33 > -3x - 62-36?

Answer 1

-3x - 6 < -33 and -3x - 6 ≥ -36

Explanation:

Think of it like this:

If we let -3x - 6 = p then we can write the compound inequality as:

-33 > p ≥ -36

which means -33 > p and p ≥ -36

So substituting -3x - 6 back in for p:

-33 > -3x - 6 and -3x - 6 ≥ -36

If we swap around the way the first inequality is written, we get:

-3x - 6 < -33

So the answer is

-3x - 6 < -33 and -3x - 6 ≥ -36