ECE 108 - Sets Exam #Questions with correct answers
If S = {1, {1,3}} the elements of S are - ✔✔1, the set {1,3}
3 is NOT an element of S
Equality - ✔✔Two sets A and B are equal if they have **the exact same
elements**
Two sets A and B are NOT equal if they **do NOT have the exact same
elements**
Special Sets - ✔✔Natural Numbers (1,2,3...} N
Whole Numbers {0,1,3...} W
Integers {..., -2, -1, 0, 1, 2,... } Z
Rational Numbers Q
Real Numbers R
Positive Real Numbers R+
Non-Negative Real Numbers R+_0 (contains 0)
Negative Real Numbers R-
Non-Positive Real Numbers R-_0
Empty Set/Null Set Notation - ✔✔∅ OR {}
What are the TWO set builder notations? - ✔✔{x∈U | P(x)}
{f(x) | x ∈ U) --> {f(x) | x∈U, P(x)} / {f(x) | P(x), x∈U}
If S = {1, {1,3}} the elements of S are - ✔✔1, the set {1,3}
3 is NOT an element of S
Equality - ✔✔Two sets A and B are equal if they have **the exact same
elements**
Two sets A and B are NOT equal if they **do NOT have the exact same
elements**
Special Sets - ✔✔Natural Numbers (1,2,3...} N
Whole Numbers {0,1,3...} W
Integers {..., -2, -1, 0, 1, 2,... } Z
Rational Numbers Q
Real Numbers R
Positive Real Numbers R+
Non-Negative Real Numbers R+_0 (contains 0)
Negative Real Numbers R-
Non-Positive Real Numbers R-_0
Empty Set/Null Set Notation - ✔✔∅ OR {}
What are the TWO set builder notations? - ✔✔{x∈U | P(x)}
{f(x) | x ∈ U) --> {f(x) | x∈U, P(x)} / {f(x) | P(x), x∈U}