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Solve for $z$ . $\newline$ $-10z \geq -9.2z - 0.48$ $\newline$ Write your answer with $z$ first, followed by an inequality symbol. $\newline$ ______

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Solve inequalities with decimals: variables on both sides

Full solution

Q. Solve for

z

.

\newline

-10z \geq -9.2z - 0.48

\newline

Write your answer with

z

first, followed by an inequality symbol.

\newline

______

Isolate z terms: Isolate the z terms on one side of the inequality. $\newline$ $-10z + 9.2z \geq -0.48$ $\newline$ $-0.8z \geq -0.48$
Divide by $-0.8$ : Divide both sides by $-0.8$ , remembering to flip the inequality sign because we are dividing by a negative number. $\newline$ $z \leq \frac{0.48}{-0.8}$ $\newline$ $z \leq -0.6$

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