Solve the Inequality for k -90>=-5(k-3)

$- 90 \geq - 5 (k - 3)$

Rewrite so $k$ is on the left side of the inequality.

$- 5 (k - 3) \leq - 90$

Divide each term in $- 5 (k - 3) \leq - 90$ by $- 5$ and simplify.

Divide each term in $- 5 (k - 3) \leq - 90$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 (k - 3)}{- 5} \geq \frac{- 90}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 (k - 3)}{- 5} \geq \frac{- 90}{- 5}$

Divide $k - 3$ by $1$ .

$k - 3 \geq \frac{- 90}{- 5}$

Simplify the right side.

Divide $- 90$ by $- 5$ .

$k - 3 \geq 18$

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

Add $3$ to both sides of the inequality.

$k \geq 18 + 3$

Add $18$ and $3$ .

$k \geq 21$

The result can be shown in multiple forms.

Inequality Form:

$k \geq 21$

Interval Notation:

$[21, \infty)$

Solve the Inequality for k -90>=-5(k-3)

Related Questions

Support LCMGCF.com by disabling your adblocker.