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Which option below demonstrates the correct notation for a continuous set of all numbers between 5 and 6, not including 5, but including 6?
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Which option below demonstrates the correct notation for a continuous set of all numbers between 5 and 6, not including 5, but including 6?
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Mathematics
4 years
2021-08-03T11:27:31+00:00
2021-08-03T11:27:31+00:00 1 Answers
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Answer:
The set is (5, 6]
Step-by-step explanation:
Ok, let’s see the different possibles notations to describe sets.
If we want to describe a discrete set, we use {}
Like in the set:
{1, 2, 3}
That set only contains the numbers 1, 2, and 3.
If we want to describe a continuous set that does not include the extremes, we use ()
For example:
(1, 3)
Contains all the numbers between 1 and 3, but does not include 1 and 3.
If we want to include the extremes, we need to use []
[1, 3]
This set is all the numbers between 1 and 3, including the values 1 and 3.
And we can mix these last two notations, so if we want a set that includes all the numbers between 5 and 6, not including 5 but including 6, we need to write:
(5, 6]