Solve for x x/4>1/2

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

Step 1

Multiply both sides by $4$ .

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

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

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

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

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

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.

$x > 2$

$x > 2$

$x > 2$

$x > 2$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x > 2$

Interval Notation:

$(2, \infty)$

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