Solution Found!
Write negations for each of the following statements.
Chapter 2, Problem 20E(choose chapter or problem)
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 .
Questions & Answers
QUESTION:
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 .
ANSWER:Solution:Step 1In this problem we need to write the negation of the given statements.