Answer :

The answer is "false". The interval [1, 2] contains all the real numbers between 1 and 2 including the endpoints.

How to write and represent an interval?

An interval notation is used for representing the continuous set of real values. This is the shortest way of writing inequalities.

Intervals are represented within the brackets such as square brackets or open brackets(parenthesis).

  • If the interval is within a square bracket, then the end values are included in the set of values.
  • If the interval is within parenthesis, then the end values are not included in the set of values.
  • The square brackets represent the inequalities - 'greater than or equal or 'less than or equal
  • The parenthesis represents the inequalities - 'greater than' or 'less than

Finding true or false:

The given interval is [1, 2]

The given statement is - 'the interval [1, 2] contains exactly two numbers - the numbers 1 and 2'

The given statement is 'false'.

This is beacuse, an interval consists set of all the real values in between the two values given.

So, according to the definition, there are not only the end values but also many real values in between them.

Thus, the answer is "false". The interval [1, 2] consists of all the real values between 1 and 2 including 1 and 2.

Learn more about interval notation here:

https://brainly.com/question/10878781

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