Five mark exercise problems IV — task. Mathematics State Board, Class 9.

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$A = \{-2, 0, 1, 3, 5\}$ ,

$B = \{-1, 0, 2, 5, 6\}$ and

$C = \{-1, 2, 5, 6, 7\}$ , show that

$A - (B \cup C) = (A - B) \cap (A - C)$ .

Proof:

$B \cup C =$

$\{i, i, i, i, i, i\}$

$A - (B \cup C) =$

$\{i, i, i\}$ ---- (

$1$ )

$A - B =$

$\{i, i, i\}$

$A - C =$

$\{i, i, i, i\}$

$(A - B) \cap (A - C) =$

$\{i, i, i\}$ ---- (

$2$ )

From equations (

$1$ ) and (

$2$ ),

$A - (B \cup C) = (A - B) \cap (A - C)$ .

Hence, we proved.

(Note: Enter the numbers in ascending order.)

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12. Five mark exercise problems IV