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Solve for $r$ . $\newline$ $-2.6r \leq -r + 8.48$ $\newline$ Write your answer with $r$ first, followed by an inequality symbol. $\newline$ ______

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Solve inequalities with decimals: variables on both sides

Full solution

Q. Solve for

r

.

\newline

-2.6r \leq -r + 8.48

\newline

Write your answer with

r

first, followed by an inequality symbol.

\newline

______

Isolate variable $r$ : Isolate the variable $r$ on one side of the inequality. $-2.6r \leq -r + 8.48$ $-2.6r + r \leq 8.48$ $-1.6r \leq 8.48$
Divide by $-1.6$ : Divide both sides by $-1.6$ to solve for $r$ , remembering to flip the inequality sign because we are dividing by a negative number. $\newline$ $-1.6r / -1.6 \geq 8.48 / -1.6$ $\newline$ $r \geq -5.3$

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