Solve +3x/2geq3/4

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

Solve for x

$$x\geq \frac{1}{2}$$

Solution Steps

Multiply both sides by 2. Since 2 is positive, the inequality direction remains the same.

$$3x\geq \frac{3}{4}\times 2$$

Express \frac{3}{4}\times 2 as a single fraction.

$$3x\geq \frac{3\times 2}{4}$$

Multiply 3 and 2 to get 6.

$$3x\geq \frac{6}{4}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$3x\geq \frac{3}{2}$$

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

$$x\geq \frac{\frac{3}{2}}{3}$$

Express \frac{\frac{3}{2}}{3} as a single fraction.

$$x\geq \frac{3}{2\times 3}$$

Cancel out 3 in both numerator and denominator.

$$x\geq \frac{1}{2}$$