How do you solve and graph #3[4x-(2x-7)]<2(3x-5)#?

1 Answer
Alan P.
Jun 28, 2016

#x in O/#
That is there is no value of #x# for which the given inequality is true.

Explanation:

Given
#color(white)("XXX")3[4x-(2x-7)] < 2(3x-5)#

First, simplify both the left and right sides:
#color(white)("XXX")3[2x+7] < 6x-10#

#color(white)("XXX")6x+21 < 6x -10#

Since we can subtract the same amount from both sides without effecting the validity or orientation of the inequality we have
#color(white)("XXX")21 < -10#

which is clearly not true for any value of #x#

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