Question

I need help

Solve 12x-5|<9

Answer 1

x∈(-2; 7)

Explanation:

1) Separate the inequality into 2 possible cases:

2x-5<9, 2x-5≥0

-(2x-5)<9, 2x-5<0

2) Solve the inequality for x:

x<7, x≥5/2

x>-2, x<5/2

3) Find the intersection:

x∈[5/2; 7)

x∈(-2' 5/2)

4) Find the union:

x∈(-2; 7)

Answer 2

The answer is probably {xl-2<x<7}