Solve the Inequality for r 5r+4<=5

$5 r + 4 \leq 5$

Step 1

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

Subtract $4$ from both sides of the inequality.

$5 r \leq 5 - 4$

Subtract $4$ from $5$ .

$5 r \leq 1$

Step 2

Divide each term in $5 r \leq 1$ by $5$ and simplify.

Divide each term in $5 r \leq 1$ by $5$ .

$\frac{5 r}{5} \leq \frac{1}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 r}{5} \leq \frac{1}{5}$

Divide $r$ by $1$ .

$r \leq \frac{1}{5}$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$r \leq \frac{1}{5}$

Interval Notation:

$(- \infty, \frac{1}{5}]$