Solve for k. -13 ≥ 3(k + 3) - 7 ______

Distribute and Simplify: Distribute the 3 into the parentheses. -13 ≥ 3(k + 3) - 7 -13 ≥ 3k + 9 - 7 Combine Like Terms: Combine like terms on the right side of the inequality. -13 ≥ 3k + 2 Isolate Variable Term: Isolate the variable term by subtracting 2 from both sides of the inequality. -13 - 2 ≥ 3k + 2 - 2 -15 ≥ 3k Divide to Solve for k: Divide both sides by 3 to solve for k. Remember that dividing by a positive number does not change the direction of the inequality. -15 / 3 ≥ 3k / 3 -5 ≥ k Rewrite Inequality: Rewrite the inequality with k on the left side. k ≤ -5

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Algebra 1

Solve advanced linear inequalities

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Q. Solve for

k

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-13 \geq 3(k + 3) - 7

Distribute and Simplify: Distribute the $3$ into the parentheses. $\newline$ $-13 \geq 3(k + 3) - 7$ $\newline$ $-13 \geq 3k + 9 - 7$
Combine Like Terms: Combine like terms on the right side of the inequality. $\newline$ $-13 \geq 3k + 2$
Isolate Variable Term: Isolate the variable term by subtracting $2$ from both sides of the inequality. $\newline$ $-13 - 2 \geq 3k + 2 - 2$ $\newline$ $-15 \geq 3k$
Divide to Solve for k: Divide both sides by $3$ to solve for $k$ . Remember that dividing by a positive number does not change the direction of the inequality. $\newline$ $-\frac{15}{3} \geq \frac{3k}{3}$ $\newline$ $-5 \geq k$
Rewrite Inequality: Rewrite the inequality with $k$ on the left side. $\newline$ $k \leq -5$