Question

P={6, 7, 11, 12, 15}
P=6, 7, 11, 12, 15

Q={4, 7, 12, 15, 20}
Q=4, 7, 12, 15, 20

S={3, 4, 11, 12, 16}
S=3, 4, 11, 12, 16


Given sets P
P, Q and S above, which of the following sets represents S∩(P∪Q)
S∩(P∪Q) (the intersection of S with the union of sets P and Q)?

Answer 1

SS is the correct answer, hope I helped

Answer 2

A set is a mathematical model for a collection of items. The set that represents S∩(P∪Q) is {4, 11, 12}.

What is a set?

A set is a mathematical model for a collection of items; it comprises elements or members, which may be any mathematical object: numbers, symbols, points in space, lines, other geometrical structures, variables, or even other sets.

The meaning of P∪Q is that the set will contain all the elements of both the set P and Q. Therefore,

P∪Q = { 4, 6, 7, 11, 12, 15, 20}

The meaning of S∩(P∪Q) is that the set will contain only those number that is common between S and (P∪Q). Therefore,

S∩(P∪Q) = {4, 11, 12}

Hence, the set that represents S∩(P∪Q) is {4, 11, 12}.

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