Solve the Inequality for z -10>=-2z

$- 10 \geq - 2 z$

Rewrite so $z$ is on the left side of the inequality.

$- 2 z \leq - 10$

Divide each term in $- 2 z \leq - 10$ by $- 2$ and simplify.

Divide each term in $- 2 z \leq - 10$ by $- 2$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 2 z}{- 2} \geq \frac{- 10}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 z}{- 2} \geq \frac{- 10}{- 2}$

Divide $z$ by $1$ .

$z \geq \frac{- 10}{- 2}$

Simplify the right side.

Divide $- 10$ by $- 2$ .

$z \geq 5$

The result can be shown in multiple forms.

Inequality Form:

$z \geq 5$

Interval Notation:

$[5, \infty)$

Solve the Inequality for z -10>=-2z

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