Solve the Inequality for z -24z>=-13

$- 24 z \geq - 13$

Step 1

Divide each term in $- 24 z \geq - 13$ by $- 24$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 24 z}{- 24} \leq \frac{- 13}{- 24}$

Step 2

Simplify the left side.

Cancel the common factor of $- 24$ .

Cancel the common factor.

$\frac{- 24 z}{- 24} \leq \frac{- 13}{- 24}$

Divide $z$ by $1$ .

$z \leq \frac{- 13}{- 24}$

Step 3

Simplify the right side.

Dividing two negative values results in a positive value.

$z \leq \frac{13}{24}$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$z \leq \frac{13}{24}$

Interval Notation:

$(- \infty, \frac{13}{24}]$

Solve the Inequality for z -24z>=-13

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