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Get Answers to all your Questions
The contrapositive of the statement
“If 7 is greater than 5, then 8 is greater than 6” is
A. If 8 is greater than 6, then 7 is greater than 5.
B. If 8 is not greater than 6, then 7 is greater than 5.
C. If 8 is not greater than 6, then 7 is not greater than 5.
D. If 8 is greater than 6, then 7 is not greater than 5.
Answers (1)
Here, p: 7 is greater than 5 & -p: 7 is not greater than 5
& q: 8 is greater than 6 & -q: 8 is not greater than 6.
Now,
A conditional statement is said to be logically equivalent to its contrapositive.
Thus, -p → -q = If 8 is not greater than 6, then 7 is not greater than 5.
Thus, option (C) is the correct answer.
View full answer
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