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Example Questions
Example Question #232 : Mathematical Relationships And Basic Graphs
Try without a calculator.
Give the value of that makes this three-part inequality true.
The inequality has no solution.
Given a nonnegative integer , - or factorial - is defined to be the product of the integers from 1 to . After some exploration, multiplying 1 by 2, the result by 3, that result by 4, and so forth, we find that
Multiplying by 8, we find that
Multiplying by 9, we find that
Therefore,
Since only integers may have factorial values, it follows that the only value of that makes the inequality true is .
Example Question #233 : Mathematical Relationships And Basic Graphs
Try without a calculator:
is equal to which expression?
None of these
- or factorial - is defined to be the product of the integers from 1 to . Therefore,
and
,
the correct response.
Example Question #92 : Factorials
Try without a calculator:
Which is true about ?
Cannot be determined
is an undefined quantity
is considered to be equal to one by definition.
Example Question #242 : Mathematical Relationships And Basic Graphs
Try without a calculator:
Calculate:
Cannot be determined
- or factorial - is defined to be the product of the integers from 1 to . Therefore,
Therefore,
Since
,
it follows that 720 is the correct response.
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