Question

Write the set of all real numbers greater than 19 and less than 32 in set-builder notation.

The set-builder notation is {x|

Answer 1

Answer: {xI x ∈ R, 19 < x < 32}

Explanation:

This notation is:

{xI condition1, condition2, ...}

The first condition is:

From what set we take the values of x?

From the set of real numbers.

x ∈ R

The other conditions are the limitations that we have for x, in this case:

19 < x < 32

Then we can write this as:

{xI x ∈ R, 19 < x < 32}