Addition Property of Inequality, When adding a value to both sides of an inequality the inequality statement remains true. If a<c, then a+b<c+b., Subtraction Property of Inequality, When subtracting a value to both sides of an inequality the inequality statement remains true. If a<c, then a-b<c-b., Multiplication Property of Inequality, 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, the inequality sign flips so that the inequality statement remains true. If a<c, then ab>cb if b<0., Division Property of Inequality, 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, the inequality sign flips so that the inequality statement remains true. If a<c, then a/b>c/b if b<0., Division Property, Multiplying a number by a group of numbers added together is the same as doing each multiplication separately.

Module 3 Lesson 3

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