How do you solve #3(x + 2) > x#?

1 Answer
Alan P.
Aug 7, 2015

#x > -3#

Explanation:

Given #3(x+2) > x#

Inequalities can be solved as if they were equalities
except that multiplication or division by a negative value will reverse the inequality sign.

Simplify the left side:
#color(white)("XXXX")##3x+6 > x#

Subtract #x# from both sides
#color(white)("XXXX")##2x+6 > 0#

Subtract 6 from both sides:
#color(white)("XXXX")##2x > -6#

Divide both sides by 2
#color(white)("XXXX")## x > -3#

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