Solve for k. 2(k + 7) + 10 ≥ 18 ______

Distribute and Simplify: First, distribute the 2 into the parentheses. 2(k + 7) + 10 ≥ 18 2k + 14 + 10 ≥ 18 Combine Like Terms: Next, combine like terms on the left side of the inequality. 2k + 14 + 10 = 2k + 24 So, 2k + 24 ≥ 18 Isolate Variable: Now, subtract 24 from both sides to isolate the term with the variable k. 2k + 24 - 24 ≥ 18 - 24 2k ≥ -6 Solve for k: Finally, divide both sides by 2 to solve for k. 2k/2 ≥ -6/2 k ≥ -3

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Solve for $k$ . $\newline$ $2(k + 7) + 10 \geq 18$

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Algebra 1

Solve advanced linear inequalities

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Q. Solve for

k

\newline

2(k + 7) + 10 \geq 18

Distribute and Simplify: First, distribute the $2$ into the parentheses. $2(k + 7) + 10 \geq 18$ $2k + 14 + 10 \geq 18$
Combine Like Terms: Next, combine like terms on the left side of the inequality. $\newline$ $2k + 14 + 10 = 2k + 24$ $\newline$ So, $2k + 24 \geq 18$
Isolate Variable: Now, subtract $24$ from both sides to isolate the term with the variable $k$ . $\newline$ $2k + 24 - 24 \geq 18 - 24$ $\newline$ $2k \geq -6$
Solve for k: Finally, divide both sides by $2$ to solve for $k$ . $\frac{2k}{2} \geq \frac{-6}{2}$ $k \geq -3$