1. Each of the following describes an implication. Write the implication in the form "if, then." a) x is rational is necessary for x is an integer. b) Provided n is an even integer, the integer 2n + 3 is odd. c) The derivative of the function f(x) = sinx is f'(x) = cos x. d) The number n + 5 is natural only if n is an integer. e) The cube of every integer k is an integer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 55E
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1. Each of the following describes an implication. Write the implication in the form "if, then."
a) x is rational is necessary for x is an integer.
b) Provided n is an even integer, the integer 2n + 3 is odd.
c) The derivative of the function f(x) = sinx is f'(x) = cosx.
d) The number n + 5 is natural only if n is an integer.
e) The cube of every integer k is an integer.
Transcribed Image Text:1. Each of the following describes an implication. Write the implication in the form "if, then." a) x is rational is necessary for x is an integer. b) Provided n is an even integer, the integer 2n + 3 is odd. c) The derivative of the function f(x) = sinx is f'(x) = cosx. d) The number n + 5 is natural only if n is an integer. e) The cube of every integer k is an integer.
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