Answer to Question #162409 in Discrete Mathematics for Nomhle Lukashe

Question

Let S denote the set of all companies listed on the Botswana Stock Exchange. Define the following sets as: A =  x | x is in the mining sector , B =  x | x has an annual turnover exceeding P10 million , C =  x | x has a financial year ending in June , D =  x | x share price is higher now than six months ago . Describe in words the following sets: (a) A ∪ B (b) B ∩ C (c) B ∩ (C ∪ A) (d) (B ∩ A) ∪ (C ∩ D)

Answer 1

Given,

S: Set of all companies

A: Mining sector companies

B: Companies Whose annual turnover exceed P10 millions.

C: Companies whose financial year ending in june.

D: Companies Whose share price is higher than six months ago.

(a) $A\cup B$ : Denotes set of those companies which are either mining sector sector or those companies whose annual turnover exceed P10 millions.

(b)B ∩ C: Denotes set of those companies Whose annual turnover exceed P10 millions and their financial year ending in june.

(c)$B\cap(C\cup A):$ Denotes set of those companies which are of mining sector or Whose financial year ending in june But Their annual turnover must exceed P10 millions.

(d)$(B\cap A) \cup (c\cap D):$ Denotes set of those companies Which are mining sector and has annual turnover exceed P10 millions or those whose share price is higher than six months ago and also their financial year ending in june.