Solve 20+11.3x<15.5x

$$20+11.3x < 15.5x$$

Solve for x

$$x>\frac{100}{21}$$

Solution Steps

Subtract 15.5x from both sides.

$$20+11.3x-15.5x<0$$

Combine 11.3x and -15.5x to get -4.2x.

$$20-4.2x<0$$

Subtract 20 from both sides. Anything subtracted from zero gives its negation.

$$-4.2x<-20$$

Divide both sides by -4.2. Since -4.2 is negative, the inequality direction is changed.

$$x>\frac{-20}{-4.2}$$

Expand \frac{-20}{-4.2} by multiplying both numerator and the denominator by 10.

$$x>\frac{-200}{-42}$$

Reduce the fraction \frac{-200}{-42} to lowest terms by extracting and canceling out -2.

$$x>\frac{100}{21}$$