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Solve for $m$ . $\newline$ $9.1m > 9.4m + 2.85$ $\newline$ Write your answer with $m$ first, followed by an inequality symbol. $\newline$ ______

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Solve inequalities with decimals: variables on both sides

Full solution

Q. Solve for

m

.

\newline

9.1m > 9.4m + 2.85

\newline

Write your answer with

m

first, followed by an inequality symbol.

\newline

______

Isolate variable term: Isolate the variable term in $9.1m > 9.4m + 2.85$ . $\newline$ $9.1m > 9.4m + 2.85$ $\newline$ $9.1m - 9.4m > 9.4m + 2.85 - 9.4m$ $\newline$ $-0.3m > 2.85$
Solve for m: Solve for m by dividing both sides by $-0.3$ , remembering to flip the inequality sign because we are dividing by a negative number. $\newline$ $-0.3m / -0.3 < 2.85 / -0.3$ $\newline$ $m < -9.5$

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