Solve for x 11x+4<=37

$11 x + 4 \leq 37$

Step 1

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

Subtract $4$ from both sides of the inequality.

$11 x \leq 37 - 4$

Subtract $4$ from $37$ .

$11 x \leq 33$

Step 2

Divide each term in $11 x \leq 33$ by $11$ and simplify.

Divide each term in $11 x \leq 33$ by $11$ .

$\frac{11 x}{11} \leq \frac{33}{11}$

Simplify the left side.

Cancel the common factor of $11$ .

Cancel the common factor.

$\frac{11 x}{11} \leq \frac{33}{11}$

Divide $x$ by $1$ .

$x \leq \frac{33}{11}$

Simplify the right side.

Divide $33$ by $11$ .

$x \leq 3$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x \leq 3$

Interval Notation:

$(- \infty, 3]$