Combine and .

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

Subtract from .

Multiply each term in the inequality by .

Multiply by .

Cancel the common factor of .

Move the leading negative in into the numerator.

Cancel the common factor.

Rewrite the expression.

Simplify each term.

Multiply by .

Multiply by .

Subtract from .

Multiply each term in the inequality by .

Multiply by .

Multiply by .

Multiply by .

Multiply 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 1<1-1/2x<4