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