SOLUTION: Solve the inequalities, and represent your answer in interval notation -6 &#8804; -3(2x-4) < 12

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Question 1087095: Solve the inequalities, and represent your answer in interval notation
-6 ≤ -3(2x-4) < 12
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!


-6 ≤ -3(2x-4) < 12

Distribute to remove the parentheses:

-6 ≤ -6x+12 < 12

Subtract 12 from all three sides:

-18 ≤ -6x < 0

Divide all three sides by -6, which causes
the inequality symbols to reverse:

3 ≥ x > 0

That is the same as

0 < x ≤ 3

The equivalent interval notation is:

(0,-3]

Edwin
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