Solve for q 11q+5<=49

$11 q + 5 \leq 49$

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

Subtract $5$ from both sides of the inequality.

$11 q \leq 49 - 5$

Subtract $5$ from $49$ .

$11 q \leq 44$

Divide each term in $11 q \leq 44$ by $11$ and simplify.

Divide each term in $11 q \leq 44$ by $11$ .

$\frac{11 q}{11} \leq \frac{44}{11}$

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$\frac{11 q}{11} \leq \frac{44}{11}$

Divide $q$ by $1$ .

$q \leq \frac{44}{11}$

Simplify the right side.

Divide $44$ by $11$ .

$q \leq 4$

The result can be shown in multiple forms.

Inequality Form:

$q \leq 4$

Interval Notation:

$(- \infty, 4]$