Algebra-1

To solve the inequality |4k + 12| ≥ 6, we can break it down into two cases:

Case 1: 4k + 12 is nonnegative (i.e., 4k + 12 ≥ 0)
In this case, the absolute value |4k + 12| is equal to 4k + 12, so we have:
4k + 12 ≥ 6

Solving this inequality, we get:
4k ≥ 6 - 12
4k ≥ -6

Dividing both sides of the inequality by 4, we have:
k ≥ -1.5

Case 2: 4k + 12 is negative (i.e., 4k + 12 < 0)
In this case, the absolute value |4k + 12| is equal to -(4k + 12), so we have:
-(4k + 12) ≥ 6

Simplifying th...