Solve 50+(x-50)*0.1<100

$$50+(x-50) \times 0.1 < 100$$

Solve for x

$$x<550$$

Solution Steps

Use the distributive property to multiply x-50 by 0.1.

$$50+0.1x-5<100$$

Subtract 5 from 50 to get 45.

$$45+0.1x<100$$

Subtract 45 from both sides.

$$0.1x<100-45$$

Subtract 45 from 100 to get 55.

$$0.1x<55$$

Divide both sides by 0.1. Since 0.1 is positive, the inequality direction remains the same.

$$x<\frac{55}{0.1}$$

Expand \frac{55}{0.1} by multiplying both numerator and the denominator by 10. Anything divided by one gives itself.

$$x<550$$