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Solve for $w$ . $\newline$ $-9.7w \leq 1.02 - 9.5w$ $\newline$ Write your answer with $w$ first, followed by an inequality symbol. $\newline$ ______

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Solve inequalities with decimals: variables on both sides

Full solution

Q. Solve for

w

.

\newline

-9.7w \leq 1.02 - 9.5w

\newline

Write your answer with

w

first, followed by an inequality symbol.

\newline

______

Isolate variable w: First, let's isolate the variable w on one side of the inequality. $\newline$ $-9.7w \leq 1.02 - 9.5w$ $\newline$ $-9.7w + 9.5w \leq 1.02$ $\newline$ $-0.2w \leq 1.02$
Divide by $-0.2$ : Next, divide both sides by $-0.2$ to solve for $w$ . Remember to flip the inequality sign because we are dividing by a negative number. $\newline$ $-0.2w / -0.2 \geq 1.02 / -0.2$ $\newline$ $w \geq -5.1$

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