Question 18 of 47intermediate🔧 ApplyShort Answer2 marks

What universal set(s) would you propose for each of the following:

(i)

The set of right triangles.

Answer

The set of all triangles.

(ii)

The set of isosceles triangles.

Answer

The set of all triangles.

Explanation

According to the context in section 1.7, a universal set is a basic set relevant to a particular context that contains all the elements and subsets we are dealing with. For both right triangles and isosceles triangles, the most appropriate universal set would be 'the set of all triangles' since both right triangles and isosceles triangles are types of triangles. Just as the set of natural numbers serves as a universal set for subsets like prime numbers and even numbers, the set of all triangles serves as the universal set for these specific types of triangles. Alternatively, one could also propose larger universal sets like 'the set of all polygons' or 'the set of all geometric figures', but 'the set of all triangles' is the most appropriate and minimal choice.