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Solve for $q$ . $\newline$ $-8 - (-3q) > -2$

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Solve multi-step inequalities

Full solution

Q. Solve for

q

.

\newline

-8 - (-3q) > -2

Addition to isolate variable term: Isolate the variable term by adding $8$ to both sides of the inequality. $\newline$ $-8 - -3q + 8 > -2 + 8$ $\newline$ $-8 + 8 - -3q > 6$
Simplify inequality: Simplify both sides of the inequality. $\newline$ $0 - (-3q) > 6$ $\newline$ $3q > 6$
Divide to solve for q: Divide both sides of the inequality by $3$ to solve for q. $\newline$ $\frac{3q}{3} > \frac{6}{3}$ $\newline$ $q > 2$

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