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Solve for $z$ . $\frac{z}{3} \geq 2$

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Solve one-step linear inequalities: multiplication and division

Full solution

Q. Solve for

z

.

\frac{z}{3} \geq 2

Identify Operation: Identify the operation that is applied to $z$ in the inequality $\frac{z}{3} \geq 2$ . The operation is division, as $z$ is divided by $3$ . To isolate $z$ , we should use the inverse operation, which is multiplication.
Use Inverse Operation: Multiply both sides of the inequality by $3$ to solve for $z$ . $\frac{z}{3} \geq 2$ Multiply both sides by $3$ : $\left(\frac{z}{3}\right) \times 3 \geq 2 \times 3$ $z \geq 6$

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