2. (а) Without changing their meanings, convert each of the following sentences into a sentence having the form " If P, then Q ". • A function to be continuous, if it is integrable. • A function is integrable provided the function is continuous. • A series converges whenever it converges absolutely. (b) Consider the following statements: M = "I wore a mask" C = "I did not get sick" Write the following sentences using the statements M and C and the logical connectives 7, A, V, =, A. • If I wore a mask then I get sick. • Whenever I wore a mask I did not get sick. • Whenever I did not wore a mask I did not get sick. • Wearing a mask is necessary and sufficient condition for me to get sick. • Wearing a mask is necessary condition for me to get sick. • Wearing a mask is sufficient condition for me to not get sick.
2. (а) Without changing their meanings, convert each of the following sentences into a sentence having the form " If P, then Q ". • A function to be continuous, if it is integrable. • A function is integrable provided the function is continuous. • A series converges whenever it converges absolutely. (b) Consider the following statements: M = "I wore a mask" C = "I did not get sick" Write the following sentences using the statements M and C and the logical connectives 7, A, V, =, A. • If I wore a mask then I get sick. • Whenever I wore a mask I did not get sick. • Whenever I did not wore a mask I did not get sick. • Wearing a mask is necessary and sufficient condition for me to get sick. • Wearing a mask is necessary condition for me to get sick. • Wearing a mask is sufficient condition for me to not get sick.
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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Transcribed Image Text:2. (а)
Without changing their meanings, convert each of the following sentences
into a sentence having the form " If P, then Q ".
• A function to be continuous, if it is integrable.
• A function is integrable provided the function is continuous.
• A series converges whenever it converges absolutely.
(b)
Consider the following statements:
M
"I wore a mask" ,
C =
= "I did not get sick" .
Write the following sentences using the statements M and C and the logical connectives
-, A, V, =, .
• If I wore a mask then I get sick.
• Whenever I wore a mask I did not get sick.
• Whenever I did not wore a mask I did not get sick.
Wearing a mask is necessary and sufficient condition for me to get sick.
• Wearing a mask is necessary condition for me to get sick.
• Wearing a mask is sufficient condition for me to not get sick.
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