Write the negation of the following statements. Use number lines where necessary. Define variables if needed. (a) Every odd integer is prime (b) I hate onions but I love sushi (c) -3 ≤ x ≤ 3
Write the negation of the following statements. Use number lines where necessary. Define variables if needed. (a) Every odd integer is prime (b) I hate onions but I love sushi (c) -3 ≤ x ≤ 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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Question
4. Write the negation of the following statements. Use number lines where necessary. Define variables if
needed.
(a) Every odd integer is prime
(b) I hate onions but I love sushi
(c) -3 ≤ x ≤ 3
Expert Solution
Step 1
(a)
Let p: an integer is odd.
q: the integer is prime.
Every odd integer is prime can be written as .
The negation is
Therefore, the negation is every odd integer is not prime.
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