Q. 3 D4.7( 3 Votes )

# Write the component statements of the following compound statements and check whether the compound statement is true or false.

57 is divisible by 2 or 3.

2 is an even number and a prime number.

Answer :

Concept Used: A compound statement is a combination of two statements (Components).

So, The components of the given statement “2 is an even number and a prime number” are

p: 2 is an even number.

q: 2 is an prime number.

Now, The given compound statement is in the form of P ᴧ Q, that has truth value True

Only when, both the components will be true.

Here,

“: 2 is an even number” is True

“2 is an prime number” is True

Hence, The given statement is True.

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