Statement "If 3^2 = 10 then I get second prize" is logically equivalent to

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Mathematical Reasoning

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The statement "If $3^2 = 10$ then $I$ get second prize" is logically equivalent to

A

$3^2 = 10$ and $I$ do not get second prize

B

$3^2 = 10$ or $I$ do not get second prize

C

${3^2} \ne 10$ or $I$ get second prize

D

None of these

Solution

$p \rightarrow q \equiv \sim p \vee q$

Here $p$ means $3^{2}=10$

$q$ means $I$ get second prize

Standard 11

Mathematics

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