Solve 11-12x/3<0

$$1 \frac { 1 - 12 x } { 3 } < 0$$

Solve for x

$$x>\frac{1}{12}$$

Solution Steps

Divide both sides by 1. Since 1 is positive, the inequality direction remains the same. Zero divided by any non-zero number gives zero.

$$\frac{1-12x}{3}<0$$

Multiply both sides by 3. Since 3 is positive, the inequality direction remains the same. Anything times zero gives zero.

$$1-12x<0$$

Subtract 1 from both sides. Anything subtracted from zero gives its negation.

$$-12x<-1$$

Divide both sides by -12. Since -12 is negative, the inequality direction is changed.

$$x>\frac{-1}{-12}$$

Fraction \frac{-1}{-12} can be simplified to \frac{1}{12} by removing the negative sign from both the numerator and the denominator.

$$x>\frac{1}{12}$$