Solve 16.95+0.10x<8.95+0.25x

$$16.95+0.10x < 8.95+0.25x$$

Solve for x

$$x>\frac{160}{3}$$

Solution Steps

Subtract 0.25x from both sides.

$$16.95+0.1x-0.25x<8.95$$

Combine 0.1x and -0.25x to get -0.15x.

$$16.95-0.15x<8.95$$

Subtract 16.95 from both sides.

$$-0.15x<8.95-16.95$$

Subtract 16.95 from 8.95 to get -8.

$$-0.15x<-8$$

Divide both sides by -0.15. Since -0.15 is negative, the inequality direction is changed.

$$x>\frac{-8}{-0.15}$$

Expand \frac{-8}{-0.15} by multiplying both numerator and the denominator by 100.

$$x>\frac{-800}{-15}$$

Reduce the fraction \frac{-800}{-15} to lowest terms by extracting and canceling out -5.

$$x>\frac{160}{3}$$