Solve the Inequality for x -3<3/4x

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

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

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

Multiply each term in $\frac{3}{4} x > - 3$ by $\frac{4}{3}$ to eliminate the fractions.

Multiply each term in $\frac{3}{4} x > - 3$ by $\frac{4}{3}$ .

$\frac{3}{4} x \frac{4}{3} > - 3 (\frac{4}{3})$

Simplify the left side.

Combine $\frac{3}{4}$ and $x$ .

$\frac{3 x}{4} \cdot \frac{4}{3} > - 3 (\frac{4}{3})$

Cancel the common factor of $3$ .

Factor $3$ out of $3 x$ .

$\frac{3 (x)}{4} \cdot \frac{4}{3} > - 3 (\frac{4}{3})$

Cancel the common factor.

$\frac{3 x}{4} \cdot \frac{4}{3} > - 3 (\frac{4}{3})$

Rewrite the expression.

$\frac{x}{4} \cdot 4 > - 3 (\frac{4}{3})$

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{x}{4} \cdot 4 > - 3 (\frac{4}{3})$

Rewrite the expression.

$x > - 3 (\frac{4}{3})$

Simplify the right side.

Cancel the common factor of $3$ .

Factor $3$ out of $- 3$ .

$x > 3 (- 1) \frac{4}{3}$

Cancel the common factor.

$x > 3 \cdot - 1 \frac{4}{3}$

Rewrite the expression.

$x > - 1 \cdot 4$

Multiply $- 1$ by $4$ .

$x > - 4$

The result can be shown in multiple forms.

Inequality Form:

$x > - 4$

Interval Notation:

$(- 4, \infty)$