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Question

Let $$A=$$ { $$x:x$$ is a natural number $$< 11$$ }
      $$B=$$ { $$x:x$$ is an even number and $$1< x< 21$$ }
      $$C=$$ { $$x:x$$ is an integer and $$15\leq x\leq 25$$ }
(i) List the element of $$A, B, C$$
(ii) Find $$n(A), n(B), n(C)$$.
(iii) State whether the following are True (T) or False (F)
      (a) $$7\in B$$
      (b) $$16\notin A$$
      (c) $$\left \{ 15,20,25 \right \}\subset C$$
      (d) $$\left \{ 10,12 \right \}\subset B$$


Solution

(i) $$A=\left \{ 1,2,3,4,5,6,7,8,9,10 \right \}, B=\left \{ 2,4,6,8,10,12,14,16,18,20 \right \}, C=\left \{ 15,16,17,18,19,20,21,22,23,24,25 \right \}$$
(ii) $$n(A)=10, n(B)=10, n(C)=11 $$
(iii) a) F  b) T  c) T  d) T

Mathematics

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