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.

Question

asked Sep 25, 2020 78.0k views

1 Answer

Henriette · Answer 1 · 2020-09-30T06:51:05+0000

Answer:

-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