Solve the Inequality for a -6a>=-36

$- 6 a \geq - 36$

Divide each term in $- 6 a \geq - 36$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 6 a}{- 6} \leq \frac{- 36}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 a}{- 6} \leq \frac{- 36}{- 6}$

Divide $a$ by $1$ .

$a \leq \frac{- 36}{- 6}$

Simplify the right side.

Divide $- 36$ by $- 6$ .

$a \leq 6$

The result can be shown in multiple forms.

Inequality Form:

$a \leq 6$

Interval Notation:

$(- \infty, 6]$

Solve the Inequality for a -6a>=-36

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