Solve the Inequality for z -3(z-3)<=21

$- 3 (z - 3) \leq 21$

Divide each term in $- 3 (z - 3) \leq 21$ by $- 3$ and simplify.

Divide each term in $- 3 (z - 3) \leq 21$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 (z - 3)}{- 3} \geq \frac{21}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 (z - 3)}{- 3} \geq \frac{21}{- 3}$

Divide $z - 3$ by $1$ .

$z - 3 \geq \frac{21}{- 3}$

Simplify the right side.

Divide $21$ by $- 3$ .

$z - 3 \geq - 7$

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

Add $3$ to both sides of the inequality.

$z \geq - 7 + 3$

Add $- 7$ and $3$ .

$z \geq - 4$

The result can be shown in multiple forms.

Inequality Form:

$z \geq - 4$

Interval Notation:

$[- 4, \infty)$

Solve the Inequality for z -3(z-3)<=21

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