Solve 1.08x<24+0.96(x-20)

$$1.08 x < 24 + 0.96 ( x - 20 )$$

Solve for x

$$x<40$$

Solution Steps

Use the distributive property to multiply 0.96 by x-20.

$$1.08x<24+0.96x-19.2$$

Subtract 19.2 from 24 to get 4.8.

$$1.08x<4.8+0.96x$$

Subtract 0.96x from both sides.

$$1.08x-0.96x<4.8$$

Combine 1.08x and -0.96x to get 0.12x.

$$0.12x<4.8$$

Divide both sides by 0.12. Since 0.12 is positive, the inequality direction remains the same.

$$x<\frac{4.8}{0.12}$$

Expand \frac{4.8}{0.12} by multiplying both numerator and the denominator by 100.

$$x<\frac{480}{12}$$

Divide 480 by 12 to get 40.

$$x<40$$