How do you solve for x given |\frac{2x}{7}+9 | > frac{5}{7}?

1 Answer
Apr 4, 2018

Either x> -29 or x< -34

Explanation:

|(2x)/7+9|>5/7

may mean :

  • either
    (2x)/7+9>5/7 implies 2x+63>5implies 2x>5-63=-58implies x > -29
  • or
    (2x)/7+9<-5/7 implies 2x+63< -5 implies 2x< - 5-63=-68implies x < -34

So, either x> -29 or x<-34