Absolute Value Inequalities

|3X -6|≥ 15

You need to set up the inequality the following way
3X - 6 ≥15
3X≥ 15 + 6
3X≥ 21
X≥7
Let's set up the negative inequality

3X - 6 ≤ -15
3X ≤ -15 + 6
3X≤ -9
X≤ -3

Therefore my answer:

X ≥ 7
or
X ≤ -3


(-∞, -3] or [ 7,∞)