Solve the Inequality for x 4<=x/4+4

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

Rewrite so $x$ is on the left side of the inequality.

$\frac{x}{4} + 4 \geq 4$

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

Subtract $4$ from both sides of the inequality.

$\frac{x}{4} \geq 4 - 4$

Subtract $4$ from $4$ .

$\frac{x}{4} \geq 0$

Multiply both sides by $4$ .

$\frac{x}{4} \cdot 4 \geq 0 \cdot 4$

Simplify.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{x}{4} \cdot 4 \geq 0 \cdot 4$

Rewrite the expression.

$x \geq 0 \cdot 4$

Simplify the right side.

Multiply $0$ by $4$ .

$x \geq 0$

The result can be shown in multiple forms.

Inequality Form:

$x \geq 0$

Interval Notation:

$[0, \infty)$