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The contra positive 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

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1 Answers

(c) Letp: 7 is greater than 5.

and q: 8 is greater than 6.

∴P→ q

~p: 7 is not greater than 5.

~q: 8 is not greater than 6.

(~q) → (~p) i.e., if 8 is not greater than 6, then 7 is not greater than 5.

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