Solve 1-y/6<1/2

$$1 - \frac { y } { 6 } < \frac { 1 } { 2 }$$

Solve for y

$$y>3$$

Solution Steps

Multiply both sides of the equation by 6, the least common multiple of 6,2. Since 6 is positive, the inequality direction remains the same.

$$6-y<3$$

Subtract 6 from both sides.

$$-y<3-6$$

Subtract 6 from 3 to get -3.

$$-y<-3$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$y>\frac{-3}{-1}$$

Fraction \frac{-3}{-1} can be simplified to 3 by removing the negative sign from both the numerator and the denominator.

$$y>3$$