-1 < c + 2 < 3....subtract 2 from all sections -1 - 2 < c + 2 - 2 < 3 - 2...simplify -3 < c < 1 ============================== 32 > 16 - 4g > 12....subtract 16 from all sections 32 - 16 > 16 - 16 - 4g > 12 - 16....simplify 16 > -4g > -4 ...now divide all sections by -4, and change inequality signs 16/-4 < (-4/-4)g < -4/-4...simplify -4 < g < 1 ============================ 6y + 1 > = 10 6y > = 10 - 1 6y > = 9 y > = 9/6 which reduces to 3/2 or 1 1/2
-3/2y > = 9 ....multiply both sides by -2/3, cancelling the -3/2 on the left...and change the inequality sign y < = 9 * -2/3 y < = -18/3 which reduces to - 6
