Question

Help, math!

Answer 1

1.
What is the assumption needed to begin an indirect proof of the following statement?

“A team is as strong as its weakest member.”



A team is as strong as its strongest member.
A team is not as strong as its weakest member.
A team is not as strong as its strongest member.
A team is as strong as its weakest member.

2.
Angie did the following proof in her logic class. Which step in the indirect proof did she do incorrectly?

Prove: 8 is divisible by 4.

Step 1: Assume that 8 is not divisible by 4.
Step 2: 8 is divisible by 4
Step 3: 8 is divisible by 4.

Step 2
Step 1
Step 3
Steps 1 and 3

3.
Heather is doing an indirect proof with five given statements and one conclusion. How many of these statements can be true based on her assumption to contradict the assumption and prove the original conclusion?

at least one
at most four
all five
exactly three

4.
Shelly, Susan, and Samantha are all working at an amusement park for the summer. The manager finds out that one of them left the key in the door to the security office. When he asked them who did it, they replied:

Shelly: Susan did it.
Susan: I didn’t do it.
Samantha: Susan did not do it.

The manager concluded that Susan did it because she was accused and was denying it.

Use an indirect proof to show that the manager was wrong and that Susan did not leave the key in the security office door.

Answer 2

can you help with any of them?