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5 votes
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.

1 Answer

3 votes

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

User Henriette
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