Answered

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Solve for .

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

43 +4 < 92 +8

Sagot :

MrRoyal

Answer:

[tex]x > -\frac{24}{19}[/tex]

Step-by-step explanation:

Given

[tex]\frac{4}{3}x + 4 < \frac{9}{2}x + 8[/tex]

Required

Solve for x

Collect like terms

[tex]\frac{4}{3}x - \frac{9}{2}x < 8-4[/tex]

[tex]\frac{4}{3}x - \frac{9}{2}x < 4[/tex]

Take LCM

[tex]\frac{8x - 27x}{6} < 4[/tex]

[tex]\frac{-19x}{6} < 4[/tex]

Multiply by 6

[tex]6 * \frac{-19x}{6} < 4 * 6[/tex]

[tex]-19x < 24[/tex]

Divide by -19

[tex]x > -\frac{24}{19}[/tex]

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