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Question 2 - Proving Statements true or false - Mathematical Reasoning
Last updated at Dec. 16, 2024 by Teachoo
Mathematical Reasoning
Serial order wise
- Statements
- Negation of Statements
- Compound Statements
- If then Statements
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Proving Statements true or false
- Examples
- Miscellaneous
Transcript
Question 2 Show that the statement “For any real numbers a and b, a2 = b2 implies that a = b” is not true by giving a counter-example. Let a = – 1 & b = 1 Calculating a2 & a2 a2 = ( – 1)2 = 1 b2 = (1)2 = 1 Since a2 = b2 = 1 ( – 1)2 = (1)2 But a ≠ b ⇒ – 1 ≠ 1 Hence the given statement is not true.
