How do you solve #-x < - x + 7(x - 2)#?

1 Answer
SCooke
Oct 5, 2016

First, work out the parentheses (PEMDAS sequence), then combine similar terms (variables and constants).

Explanation:

−x < −x+7x−14 ; −x < 6x−14 ; -7x < -14 (dividing by a negative reverses the inequality!) ; x > 2
CHECK! : If x = 4 (>2): −4 < −4 + 7(4−2) ; -4 < -4 + 7(2)

-4 < -4 + 14 ; -4 < 10 Correct!

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