Solve the Inequality for f 5f+7<=22

$5 f + 7 \leq 22$

Step 1

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

Subtract $7$ from both sides of the inequality.

$5 f \leq 22 - 7$

Subtract $7$ from $22$ .

$5 f \leq 15$

Step 2

Divide each term in $5 f \leq 15$ by $5$ and simplify.

Divide each term in $5 f \leq 15$ by $5$ .

$\frac{5 f}{5} \leq \frac{15}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 f}{5} \leq \frac{15}{5}$

Divide $f$ by $1$ .

$f \leq \frac{15}{5}$

Simplify the right side.

Divide $15$ by $5$ .

$f \leq 3$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$f \leq 3$

Interval Notation:

$(- \infty, 3]$