Algebra Examples

$24 > - 3 r \geq - 9$

Step 1

Divide each term in the inequality by $- 3$ .

$\frac{24}{- 3} < \frac{- 3 r}{- 3} \leq \frac{- 9}{- 3}$

Step 2

Divide $24$ by $- 3$ .

$- 8 < \frac{- 3 r}{- 3} \leq \frac{- 9}{- 3}$

Step 3

Cancel the common factor of $- 3$ .

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Step 3.1

Cancel the common factor.

$- 8 < \frac{- 3 r}{- 3} \leq \frac{- 9}{- 3}$

Step 3.2

Divide $r$ by $1$ .

$- 8 < r \leq \frac{- 9}{- 3}$

Step 4

Divide $- 9$ by $- 3$ .

$- 8 < r \leq 3$

Step 5

The result can be shown in multiple forms.

Inequality Form:

$- 8 < r \leq 3$

Interval Notation:

$(- 8, 3]$

Step 6