Solve 12-x/3>0

$$\frac{ 12-x }{ 3 } > 0$$

Solve for x

$$x<12$$

Solution Steps

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

$$12-x>0$$

Subtract 12 from both sides. Anything subtracted from zero gives its negation.

$$-x>-12$$

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

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

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

$$x<12$$