Question

Solve for .

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

43 +4 < 92 +8

Answer 1

`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)`