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1 vote
Solve for .

Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

43 +4 < 92 +8

1 Answer

6 votes

Answer:


x > -(24)/(19)

Explanation:

Given


(4)/(3)x + 4 < (9)/(2)x + 8

Required

Solve for x

Collect like terms


(4)/(3)x - (9)/(2)x < 8-4


(4)/(3)x - (9)/(2)x < 4

Take LCM


(8x - 27x)/(6) < 4


(-19x)/(6) < 4

Multiply by 6


6 * (-19x)/(6) < 4 * 6


-19x < 24

Divide by -19


x > -(24)/(19)

User Clancy Merrick
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