Reading Quiz Section 6.2
1. Which of the following are true statements. Select all that apply.
(a) [0, 1) ∈ P(R )
(b) 7 ∈ P( N)
(c) {(3, 5) , (2, 9 )} ⊆ P(N × N)
(d) {4, π} ∈ P(R )
2. Let A =
(1, 2 ), 3, (4, {5})
. What is
|
P(A)
|
?
(a) 3
(b) 8
(c) 16
(d) 32
Practice Problems Section 6.2
1. Let A =
∅, 1, {a}
. List the elements of P(A) and compute its cardinality. Answer True or
False for the following:
(a) ∅ ∈ A
(b) ∅ ⊆ A
(c) ∅ ∈ P(A)
(d) ∅ ⊆ P(A)
(e) {{a}} ⊆ P(A)
(f)
{∅, 1}, {∅}, ∅
⊆ P(A)
(g) A ∈ P(A)
(h) A ⊆ P(A)
Video Solution
2. Prove that A ⊆ B if and only if P(A) ⊆ P(B).
Video Solution
