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

$\frac{1}{4} x > \frac{1}{2}$

Step 1

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

$\frac{1}{4} x \cdot 4 > \frac{1}{2} \cdot 4$

Step 2

Simplify the left side.

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

$\frac{x}{4} \cdot 4 > \frac{1}{2} \cdot 4$

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{x}{4} \cdot 4 > \frac{1}{2} \cdot 4$

Rewrite the expression.

$x > \frac{1}{2} \cdot 4$

Step 3

Simplify the right side.

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$x > \frac{1}{2} \cdot (2 (2))$

Cancel the common factor.

$x > \frac{1}{2} \cdot (2 \cdot 2)$

Rewrite the expression.

$x > 2$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > 2$

Interval Notation:

$(2, \infty)$