Question 1147962
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It is TRUE because    (A \ B) = ( A \ (A intersection B) )   at the "set level".


The last identity  (at the set level)  you can easily prove/check  considering elements from  (A \ B)   and   ( A \ (A intersection B) ).



<pre>
            "The elements of the subset  &nbsp;(A \ B)  &nbsp;are those and only those 

             elements of &nbsp;A, &nbsp;that do not belong to &nbsp;(A intersection B)."
</pre>