Write the following sets in set-builder notation: (a) The set of all humans whose first name is Tanya or Nelson.

Step-by-step explanation:

Set is a well defined collection of objects.

We can express set in roaster form or set - builder form

Roaster Form

We express elements within curly brackets using commas between the elements.

Set Builder Form

In set builder form, all the elements of the set possess a common property which is not possess by elements outside the set.

We describe the elements of set using a symbol x which is followed by a colon. After colon, we write property possessed by the element and then enclosed the description within curly brackets.

(a) The set of all humans whose first name is Tanya or Nelson

We need to write this one in set builder form.

Define set as follows : { x ∈ H : H is set of all the humans and x is either Tanya or Nelson }