Solve for q. -1(q - 17) + 12 ≤ 20 ______

Distribute -1: Distribute -1 across the parentheses in the inequality -1(q - 17) + 12 ≤ 20. -1 * q + (-1) * (-17) + 12 ≤ 20 -1q + 17 + 12 ≤ 20Combine like terms: Combine like terms on the left side of the inequality. -1q + 17 + 12 = -1q + 29 So, -1q + 29 ≤ 20Subtract 29: Subtract 29 from both sides of the inequality to isolate the term with the variable q. -1q + 29 - 29 ≤ 20 - 29 -1q ≤ -9Divide to solve: Divide both sides of the inequality by -1 to solve for q. Remember to reverse the inequality sign when dividing by a negative number. -1q / -1 ≥ -9 / -1 q ≥ 9

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Algebra 1

Solve advanced linear inequalities

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Q. Solve for

q

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-1(q - 17) + 12 \leq 20

Distribute $-1$ : Distribute $-1$ across the parentheses in the inequality $-1(q - 17) + 12 \leq 20$ .
$-1 \times q + (-1) \times (-17) + 12 \leq 20$
$-1q + 17 + 12 \leq 20$
Combine like terms: Combine like terms on the left side of the inequality. $\newline$ $-1q + 17 + 12 = -1q + 29$ $\newline$ So, $-1q + 29 \leq 20$
Subtract $29$ : Subtract $29$ from both sides of the inequality to isolate the term with the variable $q$ .
$-1q + 29 - 29 \leq 20 - 29$
$-1q \leq -9$
Divide to solve: Divide both sides of the inequality by $-1$ to solve for $q$ . Remember to reverse the inequality sign when dividing by a negative number. $\newline$ $-1q / -1 \geq -9 / -1$ $\newline$ $q \geq 9$