Question

The contrapositive of the statement : "If the weather is fine then my friends will come and we go for a picnic."

Options

• The weather is fine but my friends will not come or we do not go for a picnic

• If my friends do not come or we do not go for picnic then weather will not be fine

• If the weather is not fine then my friends will not come or we do not go a picnic

• The weather is not fine but friends will come and we go for a picnic

Answer 1

If my friends do not come or we do not go for picnic then weather will not be fine

Explanation:

p = The weather is fine

q = My friends will come and we go for a picnic.

∴ Given statement can be written as : p `rightarrow` q

∴ Its contrapositive is : ∼ q `rightarrow` ∼ p

i.e. If my friends do not come or we do not go for picnic, then weather will not be fine.