Question 345411
2x<3y+6

Since y is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
3y+6>2x

Since 6 does not contain the variable to solve for, move it to the right-hand side of the inequality by subtracting 6 from both sides.
3y>-6+2x

Move all terms not containing y to the right-hand side of the inequality.
3y>2x-6

Divide each term in the inequality by 3.
(3y)/(3)>(2x)/(3)-(6)/(3)

Simplify the left-hand side of the inequality by canceling the common factors.
y>(2x)/(3)-(6)/(3)

Simplify the right-hand side of the inequality by simplifying each term.
y>(2(x-3))/(3)



2x<3y+6

Divide each term in the inequality by 2.
(2x)/(2)<(3y)/(2)+(6)/(2)

Simplify the left-hand side of the inequality by canceling the common factors.
x<(3y)/(2)+(6)/(2)

Simplify the right-hand side of the inequality by simplifying each term.
x<(3(y+2))/(2)