Solve 5-6x/2<4

$$\frac { 5 - 6 x } { 2 } < 4$$

Solve for x

$$x>-\frac{1}{2}$$

Solution Steps

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

$$5-6x<4\times 2$$

Multiply 4 and 2 to get 8.

$$5-6x<8$$

Subtract 5 from both sides.

$$-6x<8-5$$

Subtract 5 from 8 to get 3.

$$-6x<3$$

Divide both sides by -6. Since -6 is negative, the inequality direction is changed.

$$x>\frac{3}{-6}$$

Reduce the fraction \frac{3}{-6} to lowest terms by extracting and canceling out 3.

$$x>-\frac{1}{2}$$