Question

Question 3 (2 points)

Using the statement below, determine the hypothesis and conclusion,

If two integers are even, then their sum is even

Column A

Column B

1.

Hypothesis

a. If two integers are even

2.

Conclusion

b. then their sum is even

c. two integers are even

d. their sum is even

Answer 1

Hypothesis

a. If two integers are even

Conclusion

b. then their sum is even

Explanation:

We divide the statement into two parts . The first part is true only when the second is also true. The only way we can reject the hypothesis is that the conclusion is false.

In the statement "If two integers are even, then their sum is even" the part "If two integers are even" would be considered true or false on the basis of "then their sum is even" validity. So if the "then their sum is even" (conclusion ) Part is proved then the "If two integers are even" ( hypothesis) is also true.

Hence the hypothesis is

a. If two integers are even

and

Conclusion is

b. then their sum is even