Use indirect reasoning to determine the attribute defining a set, and to explore the concepts of union, intersection, empty set, and subset. SMP 1, SMP 2, SMP 3, SMP 5, SMP 6, SMP 7 Pouch: Attribute Pieces Online: Label Cards for Attribute Pieces Other: Two large loops of string Work in pairs or in teams of two students each. . a. Place the loops between the players as shown in the diagram below. Put the LARGE label card face up on one loop and the RED label card face up on the other. Take turns placing pieces in the appropriate loop or outside the loops. LARGE D RED C b. Why must the loops be overlapped in order to place the attribute pieces correctly? a. Complete the following sentence describing the attribute pieces that are in the shaded region. The shaded region is the set of all attribute pieces that are b. The set in Part a is the union of the set of red pieces and the set of large pieces. How many pieces are in the union of the two sets, that is, how many pieces are either RED or LARGE? a. Complete the following sentence describing the attribute pieces that are in region B. Region B is the set of all attribute pieces that are b. The set in Part a is the intersection of the set of red pieces and the set of large pieces. How many pieces are in the intersection of the two sets, that is, how many pieces are both RED and LARGE? The empty set is a set that contains no elements. What labels could be used for the loops so that the intersection of the two loops is empty?