How do you solve 6\leq | 3x - 6|?

1 Answer
Feb 18, 2017

x>= 4 and x<=0

Explanation:

6 <= |3x-6|

Let

6<= 3x-6 <= -6

6+6 <= 3x - 6 + 6 <= -6 + 6

12 <= 3x <= 0

12/3 <= 3x/3 <= 0/3

4 <= x <= 0

Hence, to satisfy the inequality:

x>= 4 and x<=0

Any other number would cause the inequality to be not true.