Solve the Inequality for x 1<(3x)/4

$1 < \frac{3 x}{4}$

Multiply both sides by $4$ .

$1 \cdot 4 < \frac{3 x}{4} \cdot 4$

Simplify.

Simplify the left side.

Multiply $4$ by $1$ .

$4 < \frac{3 x}{4} \cdot 4$

Simplify the right side.

Cancel the common factor of $4$ .

Cancel the common factor.

$4 < \frac{3 x}{4} \cdot 4$

Rewrite the expression.

$4 < 3 x$

Solve for $x$ .

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

$3 x > 4$

Divide each term in $3 x > 4$ by $3$ and simplify.

Divide each term in $3 x > 4$ by $3$ .

$\frac{3 x}{3} > \frac{4}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} > \frac{4}{3}$

Divide $x$ by $1$ .

$x > \frac{4}{3}$

The result can be shown in multiple forms.

Inequality Form:

$x > \frac{4}{3}$

Interval Notation:

$(\frac{4}{3}, \infty)$