Let x be an element of nonempty set A, and suppose x≠∅. Select whether each of the following statements are necessarily true or false. A statement that is not necessarily true should be marked as false. (a) A⊊A (b) ∅∈∅ (c) ∅⊆{x} (d) A−{x}⊂A

Two friends went to get ice cream sundaes. they each chose a flavor of ice cream from a list of vanilla and chocolate and toppings from a list of hot fudge, strawberries, sprinkles, peanuts, and whipped cream. use the sets below describing their choices and find b'. let a = {vanilla, chocolate, hot fudge, strawberries, sprinkles, peanuts, whipped cream} let b = {vanilla, hot fudge, sprinkles, whipped cream} let c = {chocolate, hot fudge, peanuts, whipped cream} {vanilla, hot fudge, sprinkles, whipped cream} {chocolate, strawberries, peanuts} {chocolate, strawberries} {vanilla, strawberries, peanuts}