Answer
{ }, {+}, {-}, {x}, {$\div$}, {+,-}, {+,x}, {+,$\div$}, {-,x}, {-,$\div$}, {x,$\div$}, {+,-,x}, {+,-,$\div$}, {+,x,$\div$}, {-,x,$\div$}, {+,-,x,$\div$}
Work Step by Step
List all the subsets with 0 members { }
List all the subsets with 1 member {+}, {-}, {x}, {$\div$}
List all the subsets with 2 members {+,-}, {+,x}, {+,$\div$}, {-,x}, {-,$\div$}, {x,$\div$}
List all the subsets with 3 members {+,-,x}, {+,-,$\div$}, {+,x,$\div$}, {-,x,$\div$}
List all the subsets with 4 members {+,-,x,$\div$}