1.

Write converse, inverse and contrapositive of :A family becomes literate if the woman in it is literate.

Answer»

Let p : The woman in the family is literate. 

q : A family become literate. 

Then,

The symbolic form of the given statement is p → q 

Converse : q → p is the converse of p → q. 

i.e. If a family become literate, then the woman in it is literate. 

Inverse : ~p → ~q is the inverse of p → q. 

i.e. If the woman in the family is not literate, 

then the family does not become literate. 

Contrapositive : ~q → ~p is the contrapositive of p → q. 

i e. If a family does not become literate, then the woman in it is not literate.



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