Question

Solve the inequality

-5/2(3x+4)<6-3x
Show your work.

I believe the answer is (-32/9, ∞), but I need help showing work. Thank you.

Answer 1

-5/2(3x+4)<6-3x

2•-5/2(3x+4)<2(6-3x)

-5(3x+4)<2(6-3x)

-15x-20<12-6x

-15x+6x-20<12-6x+6x

-9x-20<12

+20 +20

-9x<32

-9 -9

x>32/-9 or -3.5 recurring