Question

7.
Identify the conclusion of the conditional statement.

If you live in Phoenix, then you live in Arizona.


You live in Phoenix.


You live in Arizona.

Answer 1

8.
Which of these conditional statements is false, but has a true converse?


If you live in Canada, then you do not live in the United States.


If you live in the United States, then you do not live in Canada.


If you live in Illinois, then you live in the United States.


If you live in the United States, then you live in Illinois.

Answer 2

9.
Which is a counterexample that shows the statement is false?

All whole numbers are even.


6


4


9


2

Answer 3

10.
Which of these true conditional statements has a false converse?


If a number is divisible by 2, then it is even.


If x > 10, then x > 5.


If x = 2, then 2x = 4.

Answer 4

Test the conditional statement and its converse to determine whether the following biconditional is true.


x3 = 125 if and only if x = 5.


A.
It is true because at least one part of the biconditional is true.


B.
It is true because both parts of the biconditional are true.


C.
It is false because both parts of the biconditional are false.


D.
It is false because at least one part of the biconditional is false.