Solve the Inequality for x 7>x/4

$7 > \frac{x}{4}$

Multiply both sides by $4$ .

$7 \cdot 4 > \frac{x}{4} \cdot 4$

Simplify.

Simplify the left side.

Multiply $7$ by $4$ .

$28 > \frac{x}{4} \cdot 4$

Simplify the right side.

Cancel the common factor of $4$ .

Cancel the common factor.

$28 > \frac{x}{4} \cdot 4$

Rewrite the expression.

$28 > x$

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

$x < 28$

The result can be shown in multiple forms.

Inequality Form:

$x < 28$

Interval Notation:

$(- \infty, 28)$