Solve the Inequality for x 4(x+3)<=44

$4 (x + 3) \leq 44$

Divide each term in $4 (x + 3) \leq 44$ by $4$ and simplify.

Divide each term in $4 (x + 3) \leq 44$ by $4$ .

$\frac{4 (x + 3)}{4} \leq \frac{44}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 (x + 3)}{4} \leq \frac{44}{4}$

Divide $x + 3$ by $1$ .

$x + 3 \leq \frac{44}{4}$

Simplify the right side.

Divide $44$ by $4$ .

$x + 3 \leq 11$

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

Subtract $3$ from both sides of the inequality.

$x \leq 11 - 3$

Subtract $3$ from $11$ .

$x \leq 8$

The result can be shown in multiple forms.

Inequality Form:

$x \leq 8$

Interval Notation:

$(- \infty, 8]$