Solve 1/6<2x-13/12

$$\frac { 1 } { 6 } < \frac { 2 x - 13 } { 12 }$$

Solve for x

$$x>\frac{15}{2}$$

Solution Steps

Multiply both sides by 12. Since 12 is positive, the inequality direction remains the same.

$$\frac{1}{6}\times 12<2x-13$$

Multiply \frac{1}{6} and 12 to get \frac{12}{6}.

$$\frac{12}{6}<2x-13$$

Divide 12 by 6 to get 2.

$$2<2x-13$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$2x-13>2$$

Add 13 to both sides.

$$2x>2+13$$

Add 2 and 13 to get 15.

$$2x>15$$

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

$$x>\frac{15}{2}$$