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Solve for $a$ . $\newline$ $-9.7a \geq 8.4 - 8.5a$ $\newline$ Write your answer with $a$ first, followed by an inequality symbol. $\newline$ ______

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Solve inequalities with decimals: variables on both sides

Full solution

Q. Solve for

a

.

\newline

-9.7a \geq 8.4 - 8.5a

\newline

Write your answer with

a

first, followed by an inequality symbol.

\newline

______

Get terms with 'a': First, let's get all the terms with 'a' on one side of the inequality. $\newline$ $-9.7a \geq 8.4 - 8.5a$ $\newline$ $-9.7a + 8.5a \geq 8.4$ $\newline$ $-1.2a \geq 8.4$
Divide by $-1$ . $2$ : Now, divide both sides by $-1.2$ to solve for $a$ . Remember, dividing by a negative number flips the inequality sign. $\newline$ $-1.2a / -1.2 \leq 8.4 / -1.2$ $\newline$ $a \leq -7$

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