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Solve for $j$ . $\newline$ $-3j \geq -0.75 - 4.5j$ $\newline$ Write your answer with $j$ first, followed by an inequality symbol. $\newline$ ______ $\newline$

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Solve inequalities with decimals: variables on both sides

Full solution

Q. Solve for

j

.

\newline

-3j \geq -0.75 - 4.5j

\newline

Write your answer with

j

first, followed by an inequality symbol.

\newline

______

\newline

Combine like terms: First, let's get all the $j$ terms on one side of the inequality. $-3j + 4.5j \geq -0.75$ $1.5j \geq -0.75$
Isolate j: Now, divide both sides by $1.5$ to isolate $j$ . $\frac{1.5j}{1.5} \geq \frac{-0.75}{1.5}$ $j \geq -0.5$

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