Solve the Inequality for r -13<=-5r+2

$- 13 \leq - 5 r + 2$

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

$- 5 r + 2 \geq - 13$

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

Subtract $2$ from both sides of the inequality.

$- 5 r \geq - 13 - 2$

Subtract $2$ from $- 13$ .

$- 5 r \geq - 15$

Divide each term in $- 5 r \geq - 15$ by $- 5$ and simplify.

Divide each term in $- 5 r \geq - 15$ by $- 5$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 5 r}{- 5} \leq \frac{- 15}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 r}{- 5} \leq \frac{- 15}{- 5}$

Divide $r$ by $1$ .

$r \leq \frac{- 15}{- 5}$

Simplify the right side.

Divide $- 15$ by $- 5$ .

$r \leq 3$

The result can be shown in multiple forms.

Inequality Form:

$r \leq 3$

Interval Notation:

$(- \infty, 3]$

Solve the Inequality for r -13<=-5r+2

Related Questions

Support LCMGCF.com by disabling your adblocker.