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.