+ The original statement A. P → q + Contrapositive B. P → ~q + Converse C. q → ~p + Inverse D. 9 → p * Necessary condition + Sufficient condition E. -p → q + Biconditional (If and only if, or IFF) F. ~9 → ~p G.p + q H. ~q → p I. ~p → ~q

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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Question
Given a conditional statement "If p then q" match each of these terms to their symbolic representation.
Not all answers will be matched; it is possible that some answers will match more than one symbol.
+ The original statement
A.P → q
• Contrapositive
B. p → -q
+ Converse
C. q → -p
+ Inverse
D. 9 → p
Necessary condition
+ Sufficient condition
E. ~p → q
Biconditional (If and only if, or IFF)
F. ~q → -p
G.p +
H. ~q → p
I. ~p → ~q
Transcribed Image Text:Given a conditional statement "If p then q" match each of these terms to their symbolic representation. Not all answers will be matched; it is possible that some answers will match more than one symbol. + The original statement A.P → q • Contrapositive B. p → -q + Converse C. q → -p + Inverse D. 9 → p Necessary condition + Sufficient condition E. ~p → q Biconditional (If and only if, or IFF) F. ~q → -p G.p + H. ~q → p I. ~p → ~q
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