Question

1. Which biconditional is not a good definition? (1 point)
A whole number is odd if and only if the number is not divisible by 2.
An angle is straight if and only if its measure is 180°.
A whole number is even if and only if it is divisible by 2.
A ray is a bisector of an angle if and only if it splits the angle into two angles.

2. Use the Law of Detachment to draw a conclusion from the two given statements.
I can go to the concert if I can afford to buy a ticket.
I can go to the concert.

A. I can afford to buy a ticket
B. I cannot afford to buy a ticket
C. If I can go to the concert, I can afford the ticket.
D. Not possible

Answer 1

1) The fourth statement is not a good definition. Because it is not sufficient that the ray splits the angle into two angles, it is necessary that the two angles are equal.

2) Detachment law: given that both m and m -> n are true, then you may conclude that n is also true.

In this case the first  premise is:

If I can afford to buy a ticket, then I can go to the concert.

To draw a conclusion by the Law of Detachment you need to know that "I can afford to buy a ticket" but the second premise does not say that, then you cannot draw a conclusion.

The answer to this part is D. Not possible.