Solve w+3/4geq-1/2

$$w + \frac { 3 } { 4 } \geq - \frac { 1 } { 2 }$$

Solve for w

$$w\geq -\frac{5}{4}$$

Solution Steps

Subtract \frac{3}{4} from both sides.

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

Least common multiple of 2 and 4 is 4. Convert -\frac{1}{2} and \frac{3}{4} to fractions with denominator 4.

$$w\geq -\frac{2}{4}-\frac{3}{4}$$

Since -\frac{2}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$w\geq \frac{-2-3}{4}$$

Subtract 3 from -2 to get -5.

$$w\geq -\frac{5}{4}$$