Graph 8-3r<=5-2r

$8 - 3 r \leq 5 - 2 r$

Step 1

Move all terms containing $r$ to the left side of the inequality.

Add $2 r$ to both sides of the inequality.

$8 - 3 r + 2 r \leq 5$

Add $- 3 r$ and $2 r$ .

$8 - r \leq 5$

Step 2

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

Subtract $8$ from both sides of the inequality.

$- r \leq 5 - 8$

Subtract $8$ from $5$ .

$- r \leq - 3$

Step 3

Divide each term in $- r \leq - 3$ by $- 1$ and simplify.

Divide each term in $- r \leq - 3$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- r}{- 1} \geq \frac{- 3}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{r}{1} \geq \frac{- 3}{- 1}$

Divide $r$ by $1$ .

$r \geq \frac{- 3}{- 1}$

Simplify the right side.

Divide $- 3$ by $- 1$ .

$r \geq 3$

Step 4

Graph 8-3r<=5-2r

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