Question

The inequality 6 - 2/3x < x - 9 is equivalent to...

A) x>9
B) x<9
C) x>-3/5
D) x<-3/5

Answer 1

Start with

$6-\dfrac{2}{3}x<x-9$

Add 9 to both sides

$15-\dfrac{2}{3}x<x$

Add $\frac{2}{3}x$ to both sides

$15<\dfrac{5}{3}x$

Multiply both sides by 3/5

$9<x$

Which is the same as

$x>9$