Question

Help! write the set of numbers in set-builder notation: the set of all real numbers except 100​

Answer 1

Explanation:

The set of all real numbers except for 100 in set builder notation (assuming the variable is x) is:

The very first x represents the variable.

The second with the R represents the number. Here, we want all real numbers.

And the third is the constraint. We want all real numbers except for 100.

Answer 2

x

Explanation:

Real numbers (R) include all rational and irrational numbers.

Hence, If we need to write it in set-builder notation, we will write as:

x ∈ R, x ≠ 100

In words : "x such that x belongs to R, x is not equal to 100"

This shows that x is any real number except for 100.

`\rule[225]{225}{2}`

Hope this helped!

~AH1807

Peace!