How do you solve #-7x - 7( x - 7) > 161#?

1 Answer
smendyka
Dec 17, 2016

#x < -8#

Explanation:

First, expand the terms within parenthesis:

#-7x - 7x + 49 > 161#

#-14x + 49 > 161#

Now, we can isolate the #x# term while keeping the inequality balanced:

#-14x + 49 - 49 > 161 - 49#

#-14x + 0 > 112#

#-14x > 112#

Next we can solve for #x# while keeping the inequality balanced. However, we must remember when dealing with inequalities and multiplying or dividing by a negative term we must reverse the inequality:

#(-14x)/-14 < 112/-14#

#(cancel(-14)x)/cancel(-14) < -8#

#x < -8#

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