# Convert to Set Notation 1/5(x-12)>x+16

Solve .
Simplify .
Apply the distributive property.
Combine and .
Combine and .
Move the negative in front of the fraction.
Move all terms containing to the left side of the inequality.
Subtract from both sides of the inequality.
To write as a fraction with a common denominator, multiply by .
Combine and .
Combine the numerators over the common denominator.
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Subtract from .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Factor out of .
Rewrite as .
Move the negative in front of the fraction.
Multiply each term in by
Multiply each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
Multiply .
Multiply by .
Multiply by .
Multiply by .
Multiply both sides of the equation by .
Simplify .
Apply the distributive property.
Multiply by .
Multiply by .
Move all terms not containing to the right side of the inequality.
Subtract from both sides of the inequality.
Subtract from .
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 1/5(x-12)>x+16