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Nookie1986 [14]
3 years ago
14

Which of the following is an equivalent form of the compound inequality −33 > −3x − 6 ≥ −6?

Mathematics
1 answer:
wolverine [178]3 years ago
6 0

<u>ANSWER</u>

9\:   < x  \leqslant0

<u>EXPLANATION</u>

The given compound inequality is

- 33 \:  >  - 3x - 6 \geqslant  - 6

We need to simplify this inequality so that we can obtain x standing alone between the inequality signs.

We add 6 through out the inequality.

- 33  + 6\:  >  - 3x - 6 + 6 \geqslant  - 6 + 6

This simplifies to:

- 27\:  >  - 3x \geqslant  0

We now divide through by -3 and reverse the inequality sign.

\frac{- 27}{ - 3} \:   <   \frac{ - 3x}{ - 3}   \leqslant    \frac{0}{ - 3}

We now simplify to get:

9\:   < x  \leqslant    0

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