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Solve for $f$ . $-4 - (-3f) \leq 5$

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Solve multi-step inequalities

Full solution

Q. Solve for

f

.

-4 - (-3f) \leq 5

Addition to isolate variable: Isolate the variable term by adding $4$ to both sides of the inequality. $\newline$ $-4 - -3f \leq 5$ $\newline$ $-4 + 4 - -3f \leq 5 + 4$ $\newline$ $- -3f \leq 9$
Simplify double negative: Simplify the double negative on the left side of the inequality. $--3f$ becomes $+3f$ . $3f \leq 9$
Division to solve for f: Divide both sides of the inequality by $3$ to solve for $f$ . $\newline$ $3f \leq 9$ $\newline$ $\frac{3f}{3} \leq \frac{9}{3}$ $\newline$ $f \leq 3$

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