Solve for s. -4(s - 14) ≥ -8 ______

Distribute -4: Distribute -4 across the parentheses in the inequality -4(s - 14) ≥ -8. -4 * s + (-4) * (-14) ≥ -8 -4s + 56 ≥ -8Subtract 56: Subtract 56 from both sides of the inequality to isolate the term containing s. -4s + 56 - 56 ≥ -8 - 56 -4s ≥ -64Divide 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. -4s / -4 ≤ -64 / -4 s ≤ 16

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

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Algebra 1

Solve advanced linear inequalities

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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. $\newline$ $\frac{-4s}{-4} \leq \frac{-64}{-4}$ $\newline$ $s \leq 16$