Question

Use st-builder notation to write the set C that consists of the set of real numbers between 100 and 1000.

Answer 1

The set C comprising real numbers between 100 and 1000 is written in set-builder notation as C = x , where x is a real number and ℝ is the set of all real numbers.

Step-by-step explanation:

To write the set C that consists of the set of real numbers between 100 and 1000 using set-builder notation, we use the following expression:

C = x

Here, 'x' represents any real number, and ℝ denotes the set of all real numbers. The vertical bar '|' stands for 'such that', and the inequality indicates that x is a real number greater than 100 and less than 1000. It's important to note that 100 and 1000 are not included in the set, as indicated by the strict inequality symbols '<'.