Solve for q. -3(q + 16) + 13 ≤ 16 ______

Distribute and Simplify: Distribute -3 across (q + 16) and simplify the inequality. -3(q + 16) + 13 ≤ 16 -3q - 48 + 13 ≤ 16Combine Like Terms: Combine like terms on the left side of the inequality. -3q - 48 + 13 = -3q - 35 So, -3q - 35 ≤ 16Add to Isolate q: Add 35 to both sides of the inequality to isolate the term with q. -3q - 35 + 35 ≤ 16 + 35 -3q ≤ 51Divide to Solve for q: Divide both sides of the inequality by -3 to solve for q. Remember to reverse the inequality sign because we are dividing by a negative number. -3q / -3 ≥ 51 / -3 q ≥ -17

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Solve for $q$ . $\newline$ $-3(q + 16) + 13 \leq 16$

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Algebra 1

Solve advanced linear inequalities

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q

\newline

-3(q + 16) + 13 \leq 16

Distribute and Simplify: Distribute $-3$ across $(q + 16)$ and simplify the inequality. $\newline$ $-3(q + 16) + 13 \leq 16$ $\newline$ $-3q - 48 + 13 \leq 16$
Combine Like Terms: Combine like terms on the left side of the inequality. $\newline$ $-3q - 48 + 13 = -3q - 35$ $\newline$ So, $-3q - 35 \leq 16$
Add to Isolate $q$ : Add $35$ to both sides of the inequality to isolate the term with $q$ . $-3q - 35 + 35 \leq 16 + 35$ $-3q \leq 51$
Divide to Solve for q: Divide both sides of the inequality by $-3$ to solve for q. Remember to reverse the inequality sign because we are dividing by a negative number. $\newline$ $-3q / -3 \geq 51 / -3$ $\newline$ $q \geq -17$