Suppose that the universal set for variable x is Z. Let P(x) be the predicate x^2<25 let Q(x) be the predicate −4 ≤ x ≤ 4, and let R(x) be the predicate |x| < 4. (a) Let A be the truth set of P(x). Use set-roster notation to specify the elements of A. (b) Let B be the truth set of Q(x). Use set-roster notation to specify the elements of B. (c) Let C be the truth set of R(x). Use set-roster notation to specify the elements of C.
Suppose that the universal set for variable x is Z.
Let P(x) be the predicate x^2<25
let Q(x) be the predicate −4 ≤ x ≤ 4,
and let R(x) be the predicate |x| < 4.
(a) Let A be the truth set of P(x). Use set-roster notation to specify the elements
of A.
(b) Let B be the truth set of Q(x). Use set-roster notation to specify the elements
of B.
(c) Let C be the truth set of R(x). Use set-roster notation to specify the elements
of C.
(d) Which of the following statements are true?
i. A ⊆ B
ii. B ⊆ A
iii. A = B
iv. A ⊆ C
v. C ⊆ A
vi. A = C
vii. B ⊆ C
viii. C ⊆ B
ix. B = C
# we are entitled to solve three subparts at a time, please resubmit the other parts if you wish to get them answered.
(a)
Let A be the truth set of P(x) where
solving we get
therefore, the set roster notation is
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