Q3 of 69 Page 261

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.


All living things have two eyes and two legs.

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


So, The components of the given statement “All living things have two eyes and two legs” are


p: All living things have two eyes.


q: All living things have two legs


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,


“All living things have two eyes” is False


“All living things have two legs” is False


Hence, The given statement is False.


More from this chapter

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3

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.

 3

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.


24 is a multiple of 4 and 6.

 3

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.

 4

Write the negation of the following simple statements

The number 17 is prime.