Answer to Question #186235 in Calculus for Innocent Lorita

Question

The neighborhood of x,if |2x+9|<25,is

Answer 1

 |2x+9|<25

=> $-25<2x+9<25$

Adding -9 we get

$-25-9<2x+9-9<25-9$

=> $-34<2x<16$

Dividing by 2

$\frac{-34}{2}<\frac{2x}{2}<\frac{16}{2}$

=> $-17<x<8$

So the neighborhood of x is $(-17, 8)$