Which of the following statements is false fo | vedclass

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(D) First,we list the elements of each set by identifying the unique letters in the given words:$A = \{B, O, W, L\}$$B = \{E, L, B, O, W\}$$C = \{B, E

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$B$ is a proper subset of $C$

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(D) First,we list the elements of each set by identifying the unique letters in the given words:$A = \{B, O, W, L\}$$B = \{E, L, B, O, W\}$$C = \{B, E, L, O, W\}$Comparing the sets,we see that $A = \{B, O, W, L\}$ and $B = \{B, O, W, L, E\}$. Since all elements of $A$ are in $B$,$A \subset B$ is true.Comparing $B$ and $C$,we see that $B = \{B, E, L, O, W\}$ and $C = \{B, E, L, O, W\}$. Thus,$B = C$.Since $B = C$,the statement $B \supset C$ is true (as every set is a subset of itself).The statement $B$ is a proper subset of $C$ is false because $B$ is equal to $C$,and a set cannot be a proper subset of itself.

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

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