Simplify .

Apply the distributive property.

Multiply by by adding the exponents.

Move .

Multiply by .

Multiply by .

Simplify .

Simplify by multiplying through.

Apply the distributive property.

Multiply.

Multiply by .

Multiply by .

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify and combine like terms.

Simplify each term.

Multiply by by adding the exponents.

Move .

Multiply by .

Multiply by .

Multiply by .

Subtract from .

Move all terms containing to the left side of the inequality.

Subtract from both sides of the inequality.

Add to both sides of the inequality.

Combine the opposite terms in .

Subtract from .

Add and .

Add and .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

Use the inequality to build the set notation.

Convert to Set Notation 4x(x-5)<2(2x-1)(x-6)