Solve the Inequality for c 1/2<=c-3/4

$\frac{1}{2} \leq c - \frac{3}{4}$

Step 1

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

$c - \frac{3}{4} \geq \frac{1}{2}$

Step 2

Move all terms not containing $c$ to the right side of the inequality.

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

$c \geq \frac{1}{2} + \frac{3}{4}$

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

$c \geq \frac{1}{2} \cdot \frac{2}{2} + \frac{3}{4}$

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

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

$c \geq \frac{2}{2 \cdot 2} + \frac{3}{4}$

Multiply $2$ by $2$ .

$c \geq \frac{2}{4} + \frac{3}{4}$

Combine the numerators over the common denominator.

$c \geq \frac{2 + 3}{4}$

Add $2$ and $3$ .

$c \geq \frac{5}{4}$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$c \geq \frac{5}{4}$

Interval Notation:

$[\frac{5}{4}, \infty)$