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Solve for $m$ . $2(m - 15) \geq -10$

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Solve linear inequalities

Full solution

Q. Solve for

m

.

2(m - 15) \geq -10

Distribute $2$ : First, distribute the $2$ across the terms inside the parentheses. $\newline$ $2(m - 15) \geq -10$ $\newline$ $2 \times m - 2 \times 15 \geq -10$ $\newline$ $2m - 30 \geq -10$
Isolate variable term: Next, isolate the variable term by adding $30$ to both sides of the inequality. $\newline$ $2m - 30 + 30 \geq -10 + 30$ $\newline$ $2m \geq 20$
Divide by $2$ : Finally, divide both sides of the inequality by $2$ to solve for $m$ . $\frac{2m}{2} \geq \frac{20}{2}$ $m \geq 10$

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