Solve 0.95x+5<0.9x+20

$$0.95 x + 5 < 0.9 x + 20$$

Solve for x

$$x<300$$

Solution Steps

Subtract 0.9x from both sides.

$$0.95x+5-0.9x<20$$

Combine 0.95x and -0.9x to get 0.05x.

$$0.05x+5<20$$

Subtract 5 from both sides.

$$0.05x<20-5$$

Subtract 5 from 20 to get 15.

$$0.05x<15$$

Divide both sides by 0.05. Since 0.05 is positive, the inequality direction remains the same.

$$x<\frac{15}{0.05}$$

Expand \frac{15}{0.05} by multiplying both numerator and the denominator by 100.

$$x<\frac{1500}{5}$$

Divide 1500 by 5 to get 300.

$$x<300$$