The set of all real numbers between 3 and 10 in set-bulider form
{x|3<x<10} or {x|3≤x≤10}
Good
Well, the set of all real numbers between 3 and 10, in set-builder form, could be humorously described as "a collection of numbers that live peacefully in between 3 and 10, enjoying their realness and avoiding any imaginary drama."
To represent the set of all real numbers between 3 and 10 in set-builder form, you can write it as:
{x ∈ ℝ | 3 < x < 10}
Let's break down this expression to understand it:
- { } represents a set.
- "x" is the variable that will be used to represent the numbers in the set.
- "∈" is a symbol that means "belongs to" or "is an element of."
- ℝ represents the set of real numbers.
- "|" acts as a separator, stating the condition that must be satisfied.
- The condition, 3 < x < 10, specifies that x is a real number greater than 3 and less than 10.
So, the set-builder form {x ∈ ℝ | 3 < x < 10} represents the set of all real numbers between 3 and 10.