Addition Principle of Equality and Inequality Copyrighted © by T. Darrel Westbrook

Addition Principle of Equality and Inequality 5 June 2016Addition Principle of Equality and Inequality 2 Algebraic transformations are accomplished by using principles of relationships and properties of numbers to mathematically change the appearance of mathematical expressions, equations, and inequalities. Expressions, equations, and inequalities are considered as one entity, except as noted in the presentation.

Addition Principle of Equality and Inequality 5 June 2016Addition Principle of Equality and Inequality 3 Definition: Addition Principle of Equality – if a = b and a Real Number c, then a  c = b  c. What does this mean? Is it always true? How can you use it in an Algebra class? Provide two specific examples of this principle? What is a general example of this principle?

Addition Principle of Equality and Inequality 5 June 2016Addition Principle of Equality and Inequality 4 Definition: Addition Principle of Inequality – if a > b and a Real Number c, then a  c > b  c. (Note: the inequality symbols can be any of , , , , or  as long as they are consistent). What does this mean? Is it always true? How can you use it in an Algebra class? Provide a specific example for each of the inequality symbols. What is a general example of this principle?

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