CHECK YOUR PROGRESS Verify that each of the following statements is a false statement by finding a counterexample for each. For all numbers x: x + 3 = x + 1 3 QUESTION How many counterexamples are needed to prove that a statement is false?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter7: Real And Complex Numbers
Section7.1: The Field Of Real Numbers
Problem 20E: Give counterexamples for the following statements. If and are irrational, then is irrational. If ...
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CHECK YOUR PROGRESS Verify that each of the following statements is a
false statement by finding a counterexample for each.
For all numbers x:
x + 3
= x + 1
3
QUESTION How many counterexamples are needed to prove that a statement is false?
Transcribed Image Text:CHECK YOUR PROGRESS Verify that each of the following statements is a false statement by finding a counterexample for each. For all numbers x: x + 3 = x + 1 3 QUESTION How many counterexamples are needed to prove that a statement is false?
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