Let
p : Boys are playing
q : Boys are happy
the equivalent form of compound statement of $p \to q$ is

Boys are not playing or they are happy

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Boys are not happy or they are playing

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Boys are playing or they are not happy

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Boys are not playing or they are not happy

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Solution

The correct option is A Boys are not playing or they are happy
The equivalent form of the statement $p \to q$ is $\sim p \lor q$
On the same lines, the equivalent statement becomes Boys are not playing or they are happy, i.e. option A.

Suggest Corrections

Similar questions

Are the statements given alongside true or false? Support your answer with the use of an example−

(a) All societies do not think similarly about the roles that boys and girls play.

(b) Our society does not make distinctions between boys and girls when they are growing up.

(d) The work that women do is less valued than that of men.

\frac{p}{q}

q

43.123456789

0.120120012000120000....

43. ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 123456789

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