Which of the following statements is false for the sets A, B and C, where A ={x: x is a letter of the word 'BOWL'} B ={x : x is a letter of the word 'ELBOW'} C={x : x is a letter of the word 'BELLOW'}

A \subset B

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C \subseteq B

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B = C

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B is a proper subset of C

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Solution

The correct option is B B is a proper subset of C
The sets will be
$A =$ { B, O, W, L}
$B =$ {E, L, B, O, W}
$C =$ {B, E, L, O, W }
From the sets we understand that B = C . Hence, B is not a proper subset of C.

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