3. Consider the following propositions: p: 2 is the smallest prime. q:6 is a perfect square. Use logical connectives to represent the proposition "2 is the smallest prime but 6 is not a perfect square." 4. Let p: 4 is an even integer. q:-5 is a negative prime number. autonos arod Write each of the following statements in terms of p, q, and logical connectives: alo) a. 4 is an even integer and -5 is a negative prime number. b. 4 is not an even integer and -5 is a negative prime number. c. If 4 is an even integer, then -5 is a negative prime number. d. 4 is an even integer if and only if-5 is a negative prime number. e. If 4 is not an even integer, then -5 is not a negative prime number.
3. Consider the following propositions: p: 2 is the smallest prime. q:6 is a perfect square. Use logical connectives to represent the proposition "2 is the smallest prime but 6 is not a perfect square." 4. Let p: 4 is an even integer. q:-5 is a negative prime number. autonos arod Write each of the following statements in terms of p, q, and logical connectives: alo) a. 4 is an even integer and -5 is a negative prime number. b. 4 is not an even integer and -5 is a negative prime number. c. If 4 is an even integer, then -5 is a negative prime number. d. 4 is an even integer if and only if-5 is a negative prime number. e. If 4 is not an even integer, then -5 is not a negative prime number.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I hope you can answer these two questions.
Transcribed Image Text:3. Consider the following propositions:
p: 2 is the smallest prime.
q:6 is a perfect square.
Use logical connectives to represent the proposition "2 is the smallest prime but 6 is not a
perfect square."
4. Let p: 4 is an even integer.
4
q:-5 is a negative prime number.
He Bo
alacios arod
Write each of the following statements in terms of p, q, and logical connectives:
a. 4 is an even integer and -5 is a negative prime number.
b. 4 is not an even integer and -5 is a negative prime number.
c. If 4 is an even integer, then -5 is a negative prime number.
d. 4 is an even integer if and only if-5 is a negative prime number.
e. If 4 is not an even integer, then -5 is not a negative prime number.
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