Solve for a -6a+33<=9

$- 6 a + 33 \leq 9$

Move all terms not containing $a$ to the right side of the inequality.

Subtract $33$ from both sides of the inequality.

$- 6 a \leq 9 - 33$

Subtract $33$ from $9$ .

$- 6 a \leq - 24$

Divide each term in $- 6 a \leq - 24$ by $- 6$ and simplify.

Divide each term in $- 6 a \leq - 24$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 6 a}{- 6} \geq \frac{- 24}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 a}{- 6} \geq \frac{- 24}{- 6}$

Divide $a$ by $1$ .

$a \geq \frac{- 24}{- 6}$

Simplify the right side.

Divide $- 24$ by $- 6$ .

$a \geq 4$

The result can be shown in multiple forms.

Inequality Form:

$a \geq 4$

Interval Notation:

$[4, \infty)$

Solve for a -6a+33<=9

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