Solve the Inequality for x 1/4x>=-2

$\frac{1}{4} x \geq - 2$

Step 1

Multiply each term in $\frac{1}{4} x \geq - 2$ by $4$ .

$\frac{1}{4} x \cdot 4 \geq - 2 \cdot 4$

Step 2

Simplify the left side.

Combine $\frac{1}{4}$ and $x$ .

$\frac{x}{4} \cdot 4 \geq - 2 \cdot 4$

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{x}{4} \cdot 4 \geq - 2 \cdot 4$

Rewrite the expression.

$x \geq - 2 \cdot 4$

Step 3

Simplify the right side.

Multiply $- 2$ by $4$ .

$x \geq - 8$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \geq - 8$

Interval Notation:

$[- 8, \infty)$