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Solve for $j$ . $\frac{j}{2} \leq 3$

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Solve one-step linear inequalities: multiplication and division

Full solution

Q. Solve for

j

.

\frac{j}{2} \leq 3

Identify Operation for Isolation: We have the inequality $\frac{j}{2} \leq 3$ . Which operation should we use to isolate $j$ ? $\newline$ Since $j$ is divided by $2$ , we should use multiplication to isolate $j$ .
Use Multiplication to Isolate: Multiply both sides of the inequality by $2$ to solve for $j$ . $\newline$ $\frac{j}{2} \leq 3$ $\newline$ $2 \times \left(\frac{j}{2}\right) \leq 2 \times 3$ $\newline$ $j \leq 6$

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