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-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