Solve for g. 2(g - 6) ≤ 12 ______

Distribute 2: Distribute 2 across the parentheses in the inequality 2(g - 6) ≤ 12. 2 * g + 2 * (-6) ≤ 12 2g - 12 ≤ 12Add 12: Add 12 to both sides of the inequality to isolate the term with the variable g. 2g - 12 + 12 ≤ 12 + 12 2g ≤ 24Divide by 2: Divide both sides of the inequality by 2 to solve for g. 2g / 2 ≤ 24 / 2 g ≤ 12

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $g$ . $2(g - 6) \leq 12$

View step-by-step help

Home

Math Problems

Algebra 1

Solve advanced linear inequalities

Full solution

Q. Solve for

g

2(g - 6) \leq 12

Distribute $2$ : Distribute $2$ across the parentheses in the inequality $2(g - 6) \leq 12$ . $\newline$ $2 \cdot g + 2 \cdot (-6) \leq 12$ $\newline$ $2g - 12 \leq 12$
Add $12$ : Add $12$ to both sides of the inequality to isolate the term with the variable $g$ . $\newline$ $2g - 12 + 12 \leq 12 + 12$ $\newline$ $2g \leq 24$
Divide by $2$ : Divide both sides of the inequality by $2$ to solve for $g$ . $\frac{2g}{2} \leq \frac{24}{2}$ $g \leq 12$