Question

1. Suppose that A= {Hypertension, Obesity, COPD, Cancer } are diagnoses for patient 1, B= {Cancer, Dementia, Hypertension} are diagnoses for patient 2, and C= {Diabetes, Liver Disease, Obesity} are diagnoses for patient 3. What are contents of sets:

1. A ∩ C =?  

2. (A ∩ B) ∪ C =?

c. C/B =?

Answer 1

(a)

Given:

A= {Hypertension, Obesity, COPD, Cancer } are diagnoses for patient 1

B= {Cancer, Dementia, Hypertension} are diagnoses for patient 2,

C= {Diabetes, Liver Disease, Obesity} are diagnoses for patient 3

= Items common to A and C.

So,

we get:

= { Obesity}

So,

Answer is:

{ Obesity}

(b)

= Items common to A and B.

So,

we get:

= { {Hypertension, Cancer }

= Item in or C or both.

So,

we get:

= { {Hypertension, Cancer, Diabetes, Liver Disease, Obesity }

So,

Answer is:

{ {Hypertension, Cancer, Diabetes, Liver Disease, Obesity }

(c)

C/B : Items of C but not of B

So,

we get:

C/B = {Diabetes, Liver Disease, Obesity}

So,

Answer is:

{Diabetes, Liver Disease, Obesity}