If p : " 4 is an odd number" and q : " 4 3 is an even number" are two statements, then which of the following statements is equivalent to ∼ p ⇒ q ?

Question

If p : " 4 is an odd number" and q : " 4 3 is an even number" are two statements, then which of the following statements is equivalent to ∼ p ⇒ q ?, " 4 is an odd number and 4 3 is an even number", The negation of the statement " 4 is not an odd number or 4 3 is not an even number", Both (" 4 is an odd number and 4 3 is an even number") and (The negation of the statement " 4 is not an odd number or 4 3 is not an even number"), " 4 is an odd number and 4 3 is not an even number"

MARKS App · Accepted Answer

∼ ( p ⇒ q ) ≡ ∼ ∼ p ∨ q ≡ p ∧ ∼ q Hence, the equivalent statement of ∼ p ⇒ q is '' 4 is an odd number and 4 3 is not an even number''

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