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Solve for $m$ . $\newline$ $-2.1m < -0.7m + 7.42$ $\newline$ 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

-2.1m < -0.7m + 7.42

\newline

Write your answer with

m

first, followed by an inequality symbol.

\newline

______

Isolate m terms: Isolate the m terms on one side of the inequality. $\newline$ $-2.1m < -0.7m + 7.42$ $\newline$ $-2.1m + 0.7m < 7.42$ $\newline$ $-1.4m < 7.42$
Divide and flip inequality: Divide both sides by $-1.4$ to solve for $m$ , remembering to flip the inequality sign because we are dividing by a negative number. $\newline$ $\frac{-1.4m}{-1.4} > \frac{7.42}{-1.4}$ $\newline$ $m > -5.3$

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