How do you solve the inequality #2(x - 4)< 8(x + 1/2)#?

1 Answer
Alan P.
Sep 15, 2015

#x > -4/3#

Explanation:

Given
#color(white)("XXX")2(x-4) < 8(x+1/2)#

Simplify both sides
#color(white)("XXX")2x-4 < 8x + 4#

Add 4 to both sides
#color(white)("XXX")2x < 8x +8#

Subtract #8x# from both sides
#color(white)("XXX")-6x < 8#

Divide both sides by #(-6)#
Remember that multiplying or dividing by a number less than zero requires that you reverse the inequality sign
#color(white)("XXX")x > -4/3#

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