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$Solve for x. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 54 x+64 >= 49 x+59$

Solve for $x$ . Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. $\newline$ $54x + 64 \geq 49x + 59$

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Solve multi-step inequalities

Full solution

Q. Solve for

x

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

\newline

54x + 64 \geq 49x + 59

Isolate variable term: Isolate the variable term by subtracting $49x$ from both sides of the inequality. $\newline$ $54x + 64 \geq 49x + 59$ $\newline$ $54x + 64 - 49x \geq 49x + 59 - 49x$ $\newline$ $5x + 64 \geq 59$
Subtract $64$ from both sides: Subtract $64$ from both sides to further isolate the variable term. $\newline$ $5x + 64 - 64 \geq 59 - 64$ $\newline$ $5x \geq -5$
Divide both sides by $5$ : Divide both sides by $5$ to solve for x. $\newline$ $\frac{5x}{5} \geq \frac{-5}{5}$ $\newline$ $x \geq -1$

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