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Solve for $z$ . $\newline$ $-1 \leq -1z + 8$

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Solve multi-step inequalities

Full solution

Q. Solve for

z

.

\newline

-1 \leq -1z + 8

Isolate z: Isolate z by moving all other terms to the other side. $\newline$ $-1 \leq -1z + 8$ $\newline$ $-1 - 8 \leq -1z$ $\newline$ $-9 \leq -1z$
Divide and flip inequality: Divide both sides by $-1$ , remembering to flip the inequality sign because we are dividing by a negative number. $\newline$ $-9 / -1 \geq z$ $\newline$ $9 \geq z$

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