Set Theory Questions

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Set Theory Questions
1.
a. { | is a natural number and > 4} = {5, 6, 7, 8, 9, 10, … }
b. {14, 15, 16} = { | ∈ ℕ, 14 ≤ ≤ 16}
2.
a. {−3, −2, −1, 0, 1, 2} = { | ∈ ℤ, −3 ≤ ≤ 2}
b. { | is an integer and ≥ −2} = {−2, −1, 0, 1, 2, 3, 4, … }
3.
a. = {−27, −26, −25, −24, −23} ⇒ | | = 5
= { | ∈ ℤ, −5 ≤ ≤ 2} = {−5, −4, −3, −2, −1, 0, 1, 2} ⇒ | | = 8
b. −19 ∈
−2 ∈
−23 ∈
6∉
False
True
True
True
4.
a. Equivalent but n …
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