thanks guys

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- Feb 27th 2008, 08:46 AMadsSet Theroy
thanks guys

- Feb 27th 2008, 09:34 AMPlato
The notation (A-B) also written as (A\B) is known as set difference: the set of elements of A that do not belong to B.

So $\displaystyle \left( {A\backslash B} \right) = A \cap B^c $ that is A intersection with the complement of B.

I will help with part b.

$\displaystyle \begin{array}{l}

\left( {A\backslash B} \right) \cup \left( {A\backslash C} \right) \\

\left( {A \cap B^c } \right) \cup \left( {A \cap C^c } \right) \\

A \cap \left( {B^c \cup C^c } \right) \\

A \cap \left( {B \cap C} \right)^c \\

A\backslash \left( {B \cap C} \right) \\

\end{array}$

For symbols see http://www.mathhelpforum.com/math-he...-tutorial.html