,

Subtract from both sides of the inequality.

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 .

Simplify each term.

Multiply by .

Multiply by .

Subtract from both sides of the inequality.

Find the intersection of and .

Solve the System of Inequalities 4x-y<6 , 3x+y<9