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  • For all sets A, B and C, A – (B – C) = (A – B) – C

For all sets A, B and C, determine whether A-(B-C)=(A-B)-C is true or false. Justify your answer.

Answers (1)

Solution

Let us use the following Venn diagram to solve this question
Step 1: - B - C

Step 2: - A-(B-C)

Step 3: - A-B

Step 4: - (A-B)-C

As steps 2 and 4 are unequal, hence, the statement given is not true.

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infoexpert22

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