b Are all even numbers the result of the sum of two even numbers?
C
c Can Marla have piano lessons on days other than Tuesday?
A
a If it rains, then Mr. Spelling is unhappy.
B
b If two even numbers are added, then the sum is always even.
C
c If it is Tuesday, then Marla has a piano lesson.
Practice makes perfect
a To write the conditional statement, we have to identify the statement's hypothesis and conclusion. The hypothesis comes after "if" and the conclusion comes after "then."
Hypothesis:&If...
Conclusion:&then...
The given statement says that "Mr. Spelling is always unhappy when it rains". This means that the weather is determining Mr Spelling's mood. This statement cannot be interpreted the other way around as Mr. Spelling's mood does not control the weather. With this information, we can identify the statement's hypothesis and conclusion.
Mr Spelling is always unhappy when it rains.
Now, we can write the conditional statement.
If it rains,
then Mr. Spelling is unhappy.
b Like in Part A, we have to identify the hypothesis and conclusion. The given statement says that "the sum of two even numbers is always even". Here, the addends are controlling the sum. It should not be interpreted the other way around as the resulting sum does not determine the addends.
The sum of two even numbers is always even.
Now, we can write the conditional statement.
If two even numbers are added,
then the sum is always even.
c Like in previous parts, we will identify the statement's hypothesis and conclusion. The given statement says that "Marla has a piano lesson every Tuesday". Here, the day of the week determines Marla's activities. We should not interpret it the other way around as Marla's activities do not control time.
Marla has a piano lesson every Tuesday.
Now we can write the conditional statement.
If it is Tuesday,
then Marla has a piano lesson.
