Question
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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.)

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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Explain
Simplify this solution

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, .
b.
This statement is false. To break it down, . Therefore, . However, . So, the correct fill-in would be: and .
c.
This statement is also false. First, and . Therefore, . But . The correct fill-in would be: and .
So, here are the conclusions:
a. True
b. False (because and )
c. False (because and )

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