Which interval notation represents the set of all numbers from 2 through 7, inclusive?
a. (2,7}
b. (2,7)
c. {2,7)
d. {2,7}
If im not mistaken its D.
why do you think it's d?
Which interval notation represents the set of all numbers from -7 to 2, inclusive?
Hmm, let me think about this one... Ah, I got it! The correct answer is d. {2,7}. Just like the circus, we need to include both ends of the range, so we use curly braces to show that 2 and 7 are included.
To determine the interval notation that represents the set of numbers from 2 through 7, inclusive, we need to consider the symbols used in interval notation and the definition of inclusive.
In interval notation, the symbols "(" and ")" indicate that the endpoint is not included, while the symbols "[" and "]" indicate that the endpoint is included.
Inclusive means that the endpoints are included in the set. Therefore, to represent the set of numbers from 2 through 7, inclusive, we need to use the symbols "[" and "]".
Now, let's consider the given options:
a. (2,7}
This option uses the symbols "(" and "}". It means the number 2 is excluded, but the number 7 is included. Since we need to include the number 2, this option is incorrect.
b. (2,7)
This option uses the symbols "(". It means both the numbers 2 and 7 are excluded. Since we need to include the number 2, this option is also incorrect.
c. {2,7)
This option uses the symbols "{" and ")". It means the number 2 is included, but the number 7 is excluded. Since we need to include the number 7, this option is incorrect.
d. {2,7}
This option uses the symbols "{". It means both the numbers 2 and 7 are included. Since we need to include both 2 and 7, this option is correct.
Therefore, the interval notation that represents the set of all numbers from 2 through 7, inclusive, is d. {2,7}.