A\B represents the set of elements in A that are not in B.

A=(-4;-6] means that A includes all real numbers greater than -4 and less than or equal to -6.

B=[2;7) means that B includes all real numbers greater than or equal to 2 and less than 7.

To find A\B, we need to find the elements in A that are not in B.

Since A includes all real numbers greater than -4 and less than or equal to -6, and B includes all real numbers greater than or equal to 2 and less than 7, there are no elements in A that are not in B.

Therefore, A\B is an empty set.

A/B represents the set of elements in A that are also in B.

Since there are no elements in A that are not in B, A/B is equal to A.

Therefore, A/B is (-4;-6].