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) TMathematics

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