Question

State the contrapositive and converse for each of the following sentences:

(a) “If I do not stay up late then I will not get up after 10am.”

(b) “If it snows then I bring my gloves and I bring my hat.”

(c) “I come to England if either Chelsea or Leicester are playing, but only if one plays in December.”

Answer 1

For a statement of

Converse is

Contrapositive is

i): converse: I will not get up after 10am, If I do not stay up late

contrapositive: i vl not get up after 10am, if i do not stay up late.

ii): converse: i bring my gloves and i bring my hat, if it snows.

contrapositive: i vl not bring my gloves and i vl not bring my hat, if it does not snow.

iii): converse:if only one plays in December either chelsa or leicester are playing then i vl come to england.

Contrapositive: if no one plays in December neither chelsa nor Leicester are playing then i vl not come to England