Question

If p:we play football, q: we go for cycling, then the compound statement “Either we play football or go for cycling"is,

Answer 1

Given :- Express in symbolic form :- If p : we play football, q: we go for cycling, then the compound statement “Either we play football or go for cycling" is ?

Solution :-

we know that,

• when two statements are connected by 'and' then the compound statement is called conjunction of both statements . It is denoted by :- ∧ .
• when two statements are connected by 'or' then the compound statement is called disjunction of both statements . It is denoted by :- ∨ .

so,

→ p : we play football = p

→ q : we go for cycling = q

→ compound statement : Either we play football or go for cycling = p ∨ q .

[ Note :- This is similar to intersection ( ∩ ) ]

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