Sets questions | form five Pure Advanced Mathematics

(4026) Question Category: Mathematical Calculation

  1. Use the laws of algebra to simplify
  1. [Acap (Bcap C^{c})]cup C
  2. (Xcap Y^{c})cup (Xcap Y)cup (Ycap X^{c})
  1. Out of a group of 17 girl guides and 15 boy scouts, 22 play handball, 16 play basketball, 12 of the boy scouts play handball, 11 of the boy scouts play basketball, 10 of the boy scouts play both and 3 of the girl play neither of the two .
  1. How many girls play both handball and basketball?
  2. How many in the group play handball only and basketball only?

Answer / Solution

UNSOLVED

(5360) Question Category: Mathematical Calculation

Simplify A-(A-B) using properties of sets.

Answer / Solution

UNSOLVED

(5361) Question Category: Mathematical Calculation

In a survey of 500 movie viewers , 250 were listed as liking ‘zecomedy’, 200asliking ‘zembwela’ and 85 were listed as liking both ‘zecomedy’ as well as ‘zembwela’. Using the appropriate formula, find how many people were liking neither zecomedy nor zembwela.

Answer / Solution

UNSOLVED

(6679) Question Category: Mathematical Calculation

If sets A and B are defined by A=left { xepsilon Re:-1le xle2 ight } and B=left { xepsilon Re:2le xle 5 ight }, find A-B in the same set notation.

Answer / Solution

UNSOLVED

(6680) Question Category: Mathematical Calculation

Use laws of algebra of sets to simplify left [ left ( A-B ight )cup left ( Acap B ight ) ight ]-left [ A cupleft ( A cap B ight ) ight ].

Answer / Solution

UNSOLVED

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