Question
Decide whether each of the following statements is true. If false, demonstrate why.
a.
!
b.
c.
!
A. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. The statement is true.
B. The statement is false because
and
(Simplify your answers.)
a.
b.
c.
A. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. The statement is true.
B. The statement is false because
(Simplify your answers.)
Ask by Willis Park. in the United States
Jan 23,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
a. A. The statement is true.
b. B. The statement is false because
and
.
c. B. The statement is false because
and
.
Solution
Let’s evaluate each statement one by one:
a.
-
Evaluation:
-
Conclusion:A. The statement is true.
b.
-
Evaluation:
-
Conclusion:B. The statement is false because
and .
c.
-
Evaluation:
-
Conclusion:B. The statement is false because
and .
Summary
- a. A. The statement is true.
- b. B. The statement is false because
and . - c. B. The statement is false because
and .
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
Let’s evaluate each statement one by one and determine their truthfulness.
a.
This statement is true! By definition, factorials are calculated as the product of all positive integers up to that number. So, .
This statement is true! By definition, factorials are calculated as the product of all positive integers up to that number. So,
b.
This statement is false. To break it down, . Therefore,
. However,
. So, the correct fill-in would be: and
.
This statement is false. To break it down,
c.
This statement is also false. First, and
. Therefore,
. But
. The correct fill-in would be: and
.
This statement is also false. First,
So, here are the conclusions:
a. True
b. False (because and
)
c. False (because and
)
a. True
b. False (because
c. False (because