Write negations for each of the following statements. (Assume that all variables represent fixed quantities or entities, as appropriate.)a. If P is a square, then P is a rectangle.b. If today is New Year’s Eve, then tomorrow is January.c. If the decimal expansion of r is terminating, then r is rational.d. If n is prime, then n is odd or n is 2.e. If x is nonnegative, then x is positive or x is 0.f. If Tom is Ann’s father, then Jim is her uncle and Sue is her aunt.g. If n is divisible by 6, then n is divisible by 2 and n is divisible by 3.
Write negations for each of the following statements. (Assume that all variables represent fixed quantities or entities, as appropriate.)a. If P is a square, then P is a rectangle.b. If today is New Year’s Eve, then tomorrow is January.c. If the decimal expansion of r is terminating, then r is rational.d. If n is prime, then n is odd or n is 2.e. If x is nonnegative, then x is positive or x is 0.f. If Tom is Ann’s father, then Jim is her uncle and Sue is her aunt.g. If n is divisible by 6, then n is divisible by 2 and n is divisible by 3.
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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Write negations for each of the following statements. (Assume that all variables represent fixed quantities or entities, as appropriate.)
a. If P is a square, then P is a rectangle.
b. If today is New Year’s Eve, then tomorrow is January.
c. If the decimal expansion of r is terminating, then r is rational.
d. If n is prime, then n is odd or n is 2.
e. If x is nonnegative, then x is positive or x is 0.
f. If Tom is Ann’s father, then Jim is her uncle and Sue is her aunt.
g. If n is divisible by 6, then n is divisible by 2 and n is divisible by 3.
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