Question

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 four.
Step 2: 8 is divisible by 4
Step 3: 8 is divisible by 4.

Step 1
Steps 1 and 3
Step 3
Step 2

Answer 1

The following is an indirect proof of the Multiplication Property of Equality: For real numbers a, b, and c, if a = b, then ac = bc.

Assume ac ≠ bc. According to the given information, _____. By the Division Property of Equality, one can divide the same number from both sides of an equation without changing the equation. Therefore, ac over c does not equal bc over c. Through division, the c's cancel and a ≠ b. This contradicts the given information so ac = bc.

Which statement accurately completes the proof?

ac = bc
ac ≠ bc
a = b
a ≠ b

Answer 2

@pinkbubbles both please !!

Answer 3

Step 2 is incorrect

Answer 4

thank you! and the second one ? @pinkbubbles

Answer 5

The second one is a = b

Answer 6

@ironman11253