can apply the definitions of even/oddness, absolute value to prove statements that involve cases. Prove the following: I) if x is a real number, then |x| is greater than or equal to 0 ii) if |x| is less than or equal to 2 then x is greater than or equal to 2 and x is less than or equal to -2 iii) if xy are real numbers, then |xy| == |x||y|
can apply the definitions of even/oddness, absolute value to prove statements that involve cases. Prove the following: I) if x is a real number, then |x| is greater than or equal to 0 ii) if |x| is less than or equal to 2 then x is greater than or equal to 2 and x is less than or equal to -2 iii) if xy are real numbers, then |xy| == |x||y|
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.2: Solving Inequalities
Problem 59WE
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I can apply the definitions of even/oddness, absolute value to prove statements that involve cases. Prove the following:
I) if x is a real number, then |x| is greater than or equal to 0
ii) if |x| is less than or equal to 2 then x is greater than or equal to 2 and x is less than or equal to -2
iii) if xy are real numbers, then |xy| == |x||y|
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