How do you graph and solve #| 3x-12 |>0#?

1 Answer
Gazza
Aug 25, 2017

#x > 4 or x < 4#

Explanation:

#|3x - 12| > 0#
We need to solve the absolute value
We know either
#3x - 12 > 0 or 3x - 12 < - 0#
So, we gonna solve the first one or the first possibility
#3x - 12 > 0#
#3x > 0 + 12#
#3x > 12#
Divide both sides by 3
#(3x)/3 > 12/3#
#x > 4#

Now let solve the second one or the second possibility
#3x - 12 < - 0#
#3x < -0 + 12#
#3x < 12#
Divide both sides by 3
#(3x)/3 < 12/3#
#x < 4#

Thus,
Our final answer is : #x > 4 or x < 4# graph{|3x - 12| > 0 [-10, 10, -5, 5]}

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