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Solve for $q$ . $\newline$ $-7.4q \leq -7.1q - 0.09$ $\newline$ Write your answer with $q$ first, followed by an inequality symbol. $\newline$ ______

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Solve inequalities with decimals: variables on both sides

Full solution

Q. Solve for

q

.

\newline

-7.4q \leq -7.1q - 0.09

\newline

Write your answer with

q

first, followed by an inequality symbol.

\newline

______

Isolate variable term: Isolate the variable term in $-7.4q \leq -7.1q - 0.09$ .
$-7.4q \leq -7.1q - 0.09$
$-7.4q + 7.1q \leq -7.1q - 0.09 + 7.1q$
$-0.3q \leq -0.09$
Solve for q: Solve for q. $\newline$ $-0.3q \leq -0.09$ $\newline$ Divide both sides by $-0.3$ , remembering to flip the inequality because we are dividing by a negative number. $\newline$ $q \geq 0.3$

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