Solve 12x+31<101x

$$12 x + 31 < 101 x$$

Solve for x

$$x>\frac{31}{89}$$

Solution Steps

Subtract 101x from both sides.

$$12x+31-101x<0$$

Combine 12x and -101x to get -89x.

$$-89x+31<0$$

Subtract 31 from both sides. Anything subtracted from zero gives its negation.

$$-89x<-31$$

Divide both sides by -89. Since -89 is negative, the inequality direction is changed.

$$x>\frac{-31}{-89}$$

Fraction \frac{-31}{-89} can be simplified to \frac{31}{89} by removing the negative sign from both the numerator and the denominator.

$$x>\frac{31}{89}$$