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I don't know how to evaluate this expression: $A-B\cap C$

Is it true that:

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

or, in other words, that the associative property applies to these operations?

  • 2
    I would say it's ambiguous.2012-12-27
  • 0
    So would I. The equality you've written is not true, so some brackets are going to be necessary to understand $A-B\cap C$, unless it's clear from context.2012-12-27
  • 0
    Perhaps interestingly, $A\cap B\setminus C$ is not ambiguous...2012-12-28
  • 0
    Ok, it's not true I just drawn the Venn Diagram. But the question remains. I which order should I take these operations?2012-12-28

3 Answers 3