Five mark example problems I — task. Mathematics State Board, Class 9.

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Answer variants:

AB (1).svg

Verify

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

Proof:

$B \cup C =$

$A - (B \cup C) =$

---- (

$1$ )

$A - B =$

$A - C =$

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

---- (

$2$ )

From equations (

$1$ ) and (

$2$ ),

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

Hence, we proved.

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