Question

All real numbers between -3 and -1 the set in interval notion is =?

a) (−3,−1)

b) [−3,−1)

c) (−3,−1]

d) [−3,−1]

Answer 1

The set of all real numbers between -3 and -1 can be represented in interval notation as a. (−3,−1).

Step-by-step explanation:

In mathematics, real numbers are the set of numbers that include both rational and irrational numbers. They can be represented on a number line, which extends infinitely in both directions. Real numbers include all whole numbers, integers, and fractions. They also include numbers like π (pi) and √2 (the square root of 2), which cannot be expressed as fractions and are called irrational numbers.

The set of all real numbers between -3 and -1 can be represented in interval notation as (−3,−1).

This is because we are looking for numbers that are greater than -3 and less than -1, but not including -3 and -1 themselves. The parentheses indicate that the endpoints are not included in the interval. Therefore, option a) (−3,−1) is the correct answer.