Solve the inequality 5(x+2) > 7x+9

To solve the inequality all x terms must be move to one side and all non x terms to the other. First the brackets must be expanded to give 5x+10 > 7x+9. Then 9 is subtracted from both sides to give 5x+1 > 7x and 5x is subtracted from both sides to give 1 > 2x. Both sides of the inequality are then divided by 2 in order to get a pure x term, and the signs are switched in order to have x on the left hand side to give the final answer x < 0.5.