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$Solve for x. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. 4x+4 <= 9x+8$

Solve for $x$ . $\newline$ Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. $\newline$ $4x+4 \leq 9x+8$

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Solve multi-step inequalities

Full solution

Q. Solve for

x

.

\newline

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

\newline

4x+4 \leq 9x+8

Isolate variable term: Isolate the variable term by moving all $x$ terms to one side of the inequality. $\newline$ $4$ x + $4$ \leq $9$ x + $8$ $\newline$ $4$ x - $9$ x + $4$ \leq $9$ x - $9$ x + $8$ $\newline$ $-5$ x + $4$ \leq $8$
Isolate x: Isolate x by moving the constant term on the side with x to the other side of the inequality. $\newline$ $-5x + 4 - 4 \leq 8 - 4$ $\newline$ $-5x \leq 4$
Divide by $-5$ : Divide both sides of the inequality by $-5$ to solve for x. Remember that dividing by a negative number reverses the inequality sign. $\newline$ $-5x / -5 \geq 4 / -5$ $\newline$ $x \geq -\frac{4}{5}$

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