Question
Sets M and P are defined by
M = { students studying mathematics }
P = { students studying physics }
Describe in words
which students belong to the set
(i) M' intersects P'
(ii) ( M intersects P' )'
Answer
(i) Students who take neither Physics
nor Maths or both
(ii) Students who are not taking Maths
only
There are many ways to describe the required sets in words.
So, the sentences can be phrased differently as long as the
required sets are
correct.
To get the required sets, we will first
(a) draw a rectangle to represent the
universal set
(b) next we will draw two intersecting
circles, circle M for students studying
Maths and circle P
for students studying Physics
(c) Next, shade the correct portion for the
required set
(d) Finally, we will write the required sets
in words, using words as simple as
possible.