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Solve for $a$ . $\newline$ $\frac{a}{-6} + 6 \leq 7$

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Solve multi-step inequalities

Full solution

Q. Solve for

a

.

\newline

\frac{a}{-6} + 6 \leq 7

Isolate variable term: Isolate the variable term by subtracting $6$ from both sides. $\newline$ $\frac{a}{-6} + 6 - 6 \leq 7 - 6$ $\newline$ $\frac{a}{-6} \leq 1$
Multiply both sides: Multiply both sides by $-6$ to solve for $a$ . Remember to flip the inequality sign because we are multiplying by a negative number. $\newline$ $\frac{a}{-6} \times -6 \geq 1 \times -6$ $\newline$ $a \geq -6$

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