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 ...
icon
Related questions
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 pq.

The negation is

~pq~~pqp~q

Therefore, the negation is every odd integer is not prime.

 

 

steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL