Algebra Examples

$- 3 m \geq - 27$

Step 1

Divide each term in $- 3 m \geq - 27$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 m}{- 3} \leq \frac{- 27}{- 3}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $- 3$ .

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Step 2.1.1

Cancel the common factor.

$\frac{- 3 m}{- 3} \leq \frac{- 27}{- 3}$

Step 2.1.2

Divide $m$ by $1$ .

$m \leq \frac{- 27}{- 3}$

Step 3

Simplify the right side.

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Step 3.1

Divide $- 27$ by $- 3$ .

$m \leq 9$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$m \leq 9$

Interval Notation:

$(- \infty, 9]$