Question 24 Consider the statement If n is a multiple of 3, then 2n + 2 is not a multiple of 3. The converse of the given statement is: If n is not a multiple of 3, then 2n + 2 is a multiple of 3. 1. True 2. False Question 25 Consider the following statement, for all x Z: If x + 1 is even, then 3x2 - 4 is odd. The correct way to start a direct proof to determine if the statement is true is as follows: Assume x is even, then x = 2k for some k Z, then 3x2 – 4 ie 3(2k)2 - 4 ie ……….. 1. True 2. False
The Answer to the Question
is below this banner.
Can't find a solution anywhere?
NEED A FAST ANSWER TO ANY QUESTION OR ASSIGNMENT?
Get the Answers Now!You will get a detailed answer to your question or assignment in the shortest time possible.
Here's the Solution to this Question
Question 24
Consider the statement "If is a multiple of 3, then is not a multiple of 3". The converse of a statement is formed by switching the hypothesis and the conclusion. Hence, the converse of the given statement is "If is not a multiple of 3, then is a multiple of 3".
Answer: 2. False
Question 25
Consider the following statement, "for all : If is even, then is odd.
The correct way to start a direct proof to determine if the statement is true is as follows:
Assume is even, then for some , then ...
Answer: 2. False