Solve the Inequality for x x-3/4<1/2

$x - \frac{3}{4} < \frac{1}{2}$

Add $\frac{3}{4}$ to both sides of the inequality.

$x < \frac{1}{2} + \frac{3}{4}$

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$x < \frac{1}{2} \cdot \frac{2}{2} + \frac{3}{4}$

Write each expression with a common denominator of $4$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{2}$ by $\frac{2}{2}$ .

$x < \frac{2}{2 \cdot 2} + \frac{3}{4}$

Multiply $2$ by $2$ .

$x < \frac{2}{4} + \frac{3}{4}$

Combine the numerators over the common denominator.

$x < \frac{2 + 3}{4}$

Add $2$ and $3$ .

$x < \frac{5}{4}$

The result can be shown in multiple forms.

Inequality Form:

$x < \frac{5}{4}$

Interval Notation:

$(- \infty, \frac{5}{4})$