Table of Contents

- 1 Which interval notation represents the set of all numbers greater than and less than?
- 2 What is the set of all real numbers greater than or equal to?
- 3 How do you write all real numbers greater than 0?
- 4 How do you write greater than or equal to in interval notation?
- 5 What does interval notation look like?
- 6 How do you show all real numbers in set notation?
- 7 Is 3 less than or equal to 3?

## Which interval notation represents the set of all numbers greater than and less than?

Consider a variable x and two numbers A and B. Using the rules listed above the interval notation that represents the set of all numbers greater than or equal to 5 and less than 12 is option 1. The correct interval notation is [5, 12) which is option 1.

## What is the set of all real numbers greater than or equal to?

You can also say, “The domain is the set of all real numbers, and the range is the set of all real numbers greater than or equal to negative two.” Sometimes you have restrictions because of a square root.

**How do you write a set of real numbers in interval notation?**

The interval “all real numbers greater than −5” is written as (−5,∞), and “all real numbers less than or equal to 7” is written as (−∞,7]. This does not mean that ∞ is a number; it is just a convenient shorthand.

### How do you write all real numbers greater than 0?

{x | x ≥ 0}. If the domain of a function is all real numbers (i.e. there are no restrictions on x), you can simply state the domain as, ‘all real numbers,’ or use the symbol to represent all real numbers.

### How do you write greater than or equal to in interval notation?

With interval notation, we use use round parentheses, ( or ). With inequalities, we use “less than or equal to”: ≤ or “greater than or equal to”: ≥ to include the endpoint of the interval. With interval notation, we use use square brackets, [ or ]. Enter DNE for an empty set.

**What is the symbol for all real numbers?**

symbol R

Symbol of Real Numbers Since the set of real numbers is the collection of all rational and irrational numbers, real numbers are represented by the symbol R.

#### What does interval notation look like?

Intervals are written with rectangular brackets or parentheses, and two numbers delimited with a comma. The two numbers are called the endpoints of the interval. The number on the left denotes the least element or lower bound. The number on the right denotes the greatest element or upper bound.

#### How do you show all real numbers in set notation?

*Note that “the set of all real numbers” can be written as a script upper case R. In handwriting we usually make a double line in the left down stroke of the R to indicate this.

**How do you write a set of all real numbers?**

## Is 3 less than or equal to 3?

Inequalities

x≠3 | x is not equal to 3 |
---|---|

x<3 | x is less than 3 |

x>3 | x is greater than 3 |

x≤3 | x is less than or equal to 3 |

x≥3 | x is greater than or equal to 3 |