Suppose ne N. Let S be the following statement: If n is prime, then 2n + 1 is prime. (a) Write down the contrapositive of S. (b) Write down the converse of S. (c) Is S true? Is the contrapositive of S true? Is the converse of S true? [Justify your answers.]
Suppose ne N. Let S be the following statement: If n is prime, then 2n + 1 is prime. (a) Write down the contrapositive of S. (b) Write down the converse of S. (c) Is S true? Is the contrapositive of S true? Is the converse of S true? [Justify your answers.]
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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