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.
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.
“: 2 is an even number” is True
“2 is an prime number” is True
Hence, The given statement is True.
Rate this question :