A. List the members of the following sets 1. {x| x is real numbers and x2 = 1} 2. {x| x is an integer and -4 < x ≤ 3} B. Use set builder notation to give description of each of these sets. 1. {a, e,i ,o, u} 2. {=2, -1, 0, 1, 2} C. Let A= (a, b, c), B = (x, y) and C = (0, 1) Find: 1. A U C 2. C x B 3. B – A 4. (A ∩ C) U B D. Find these terms of the sequence (An}, where An = 2(3)n + 5 1. A0 2. A5 3. A3 4. 8th term 5. 2nd term 6. Sum of the sequence E. Given the following set: 2. X = {-1, 0, 1, 2, 3, 4, 5} defined by the rule (x, y) ∈R if x ≤ y F. List the elements of R G. Find the domain of R H. Find the range of R I. Draw the digraph J. Properties of the Relation
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Solution.
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B.
C.
D.
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G.
Domain( )=
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Range( )=
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J.
Properties of the Relation:
Reflexivity
Irreflexivity
Symmetry
Antysymmetry
Asymmetry
Transitivity.