When adding a value to both sides of an inequality the inequality statement remains true. If a < c, then (a + b) < (c + b). This property is ____. When subtracting a value to both sides of an inequality the inequality statement remains true. If a < c, then (a - b) < (c - b). This property is ____. When multiplying a value to both sides of an inequality that is greater than zero, the inequality statement remains true. If a < c, then ab < cb if b > 0. When multiplying a value to both sides of an inequality that is less than zero (or negative), the inequality sign flips so that the inequality statement remains true. If a < c, then ab > cb if b < 0. This property is ____. When dividing a value from both sides of an inequality that is greater than zero, the inequality statement remains true. If a < c, then a/b < c/b if b > 0. When dividing a value from both sides of an inequality that is less than zero (or negative), the inequality sign flips so that the inequality statement remains true. If a < c, then a/b > c/b if b < 0. This property is ____.

Module 3 Lesson 2

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