Solve 3/2x-5>4

$$\frac { 3 } { 2 } x - 5 > 4$$

Solve for x

$$x>6$$

Solution Steps

Add 5 to both sides.

$$\frac{3}{2}x>4+5$$

Add 4 and 5 to get 9.

$$\frac{3}{2}x>9$$

Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}. Since \frac{3}{2} is positive, the inequality direction remains the same.

$$x>9\times \frac{2}{3}$$

Express 9\times \frac{2}{3} as a single fraction.

$$x>\frac{9\times 2}{3}$$

Multiply 9 and 2 to get 18.

$$x>\frac{18}{3}$$

Divide 18 by 3 to get 6.

$$x>6$$