Chapter 6.2, Problem 2WE

(a)

To determine

To write: contrapositive of the given statement

Answer to Problem 2WE

If this is not blue, then those are not red and white

Explanation of Solution

Given information: The statement is ‘If those are red and white, then this is blue’

If the given statement is ‘’If p then q’’, the contrapositive is ‘’If not q then not p’’

Given statement is ‘If those are red and white, then this is blue’

The contrapositive is ‘If this is not blue, then those are not red and white’

(b)

To determine

To write: inverse of the given statement

Answer to Problem 2WE

If those are not red and white, then this is not blue

Explanation of Solution

If the given statement is ‘’If p then q’’, the inverse is ‘’If not p then not q’’

Given statement is ‘If those are red and white, then this is blue’

The inverse is ‘If those are not red and white, then this is not blue