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

-3x - 6 < -33   and   -3x - 6 ≥ -36

Step-by-step 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

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