Solve for q. 12 ≥ 2(q - 2) ______

Distribute 2: First, we need to distribute the 2 across the parentheses in the inequality 12 ≥ 2(q - 2). Calculation: 12 ≥ 2q - 4 Math error check: Add 4: Next, we add 4 to both sides of the inequality to isolate the term with the variable q. Calculation: 12 + 4 ≥ 2q - 4 + 4 Simplification: 16 ≥ 2q Math error check: Divide by 2: Now, we divide both sides of the inequality by 2 to solve for q. Calculation: 16/2 ≥ 2q/2 Simplification: 8 ≥ q or q ≤ 8 Math error check:

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Solve for $q$ . $\newline$ $12 \geq 2(q - 2)$

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Algebra 1

Solve advanced linear inequalities

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Q. Solve for

q

\newline

12 \geq 2(q - 2)

Distribute $2$ : First, we need to distribute the $2$ across the parentheses in the inequality $12 \geq 2(q - 2)$ . $\newline$ Calculation: $12 \geq 2q - 4$ $\newline$ Math error check:
Add $4$ : Next, we add $4$ to both sides of the inequality to isolate the term with the variable $q$ .
Calculation: $12 + 4 \geq 2q - 4 + 4$
Simplification: $16 \geq 2q$
Math error check:
Divide by $2$ : Now, we divide both sides of the inequality by $2$ to solve for $q$ . $\newline$ Calculation: $\frac{16}{2} \geq \frac{2q}{2}$ $\newline$ Simplification: $8 \geq q$ or $q \leq 8$ $\newline$ Math error check: