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Solve for $s$ . $\newline$ $-4(s - 14) \geq -8$

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Solve advanced linear inequalities

Full solution

Q. Solve for

s

.

\newline

-4(s - 14) \geq -8

Distribute $-4$ : Distribute $-4$ across the parentheses in the inequality $-4(s - 14) \geq -8$ . $\newline$ $-4 \times s + (-4) \times (-14) \geq -8$ $\newline$ $-4s + 56 \geq -8$
Subtract $56$ : Subtract $56$ from both sides of the inequality to isolate the term containing $s$ .
$-4s + 56 - 56 \geq -8 - 56$
$-4s \geq -64$
Divide by $-4$ : Divide both sides of the inequality by $-4$ to solve for $s$ . Remember that dividing by a negative number reverses the inequality sign. $\newline$ $\frac{-4s}{-4} \leq \frac{-64}{-4}$ $\newline$ $s \leq 16$

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