Sets - Representing Relationships between Sets

Sets - Representing Relationships between Sets

IP 2

Given that \(\xi = \{\text{students}\hspace{0.15em}\}\), \(G = \{\text{female}\hspace{0.15em}\}\), \(B = \{\text{basketball players}\hspace{0.15em}\}\), \(S = \{\text{soccer players}\hspace{0.15em}\}\),

  1. use set notation to express
    1. a set of female basketball players,
    2. there are no female soccer players.
  2. Describe each of the following.
    1. \(B' \subseteq S\)
    2. \((B \cap S) \neq \varnothing\)

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Answer:(a)(i) \(G\cap B\) (ii) \(G\cap S=\varnothing\) (b)(i) Every student who does not play basketball plays soccer. (ii) Some students play both basketball and soccer.

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