Factor out of .

Factor out of .

Factor out of .

Factor out of .

Separate fractions.

Divide by .

Divide by .

Apply the distributive property.

Multiply by .

Multiply by .

Subtract from each section of the inequality because it does not contain the variable we are trying to solve for.

Subtract from .

Subtract from .

Divide each term in the inequality by .

Divide by .

Cancel the common factor.

Divide by .

Divide by .

Rewrite the interval so that the left value is less than the right value. This is the correct way to write an interval solution.

Solve for x 0.4<=(0.02-0.01x)/0.2<0.8