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

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Answer 1 · 2017-02-18T06:31:25

#x>= 4# and #x<=0#

# 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.