Question

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

Answer 1

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`