Q-2: a) following cases, find A, B and determine whether A C B,B C A, both or Let U = {x: x is an integer and 2 < x< 10}. In each of the neither: i. A = {x: 2x + 1 > 7},B = {x: x² > 20}. ii. A = {x:x2 – 3x + 2 = 0}, B = {x:x + 7 is a perfect square}. b) [4 codomain are the real numbers, are one-to-one, which are onto, and which have inverses, justify your answers: i. f(x) = |x|. ii. f(x) = x³ + 6. %3D Which of the following functions, whose domain and

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Q-2:
a)
following cases, find A, B and determine whether A C B,B C A, both or
Let U = {x: x is an integer and 2 < x < 10}. In each of the
neither:
i. A = {x: 2x + 1 > 7}, B = {x: x² > 20}.
ii. A = {x:x2 – 3x + 2 = 0}, B = {x:x + 7 is a perfect square}.
b) [4
codomain are the real numbers, are one-to-one, which are onto, and which
have inverses, justify your answers:
i. f(x) = |x|.
ii. f(x) — х3 + 6.
Which of the following functions, whose domain and
Transcribed Image Text:Q-2: a) following cases, find A, B and determine whether A C B,B C A, both or Let U = {x: x is an integer and 2 < x < 10}. In each of the neither: i. A = {x: 2x + 1 > 7}, B = {x: x² > 20}. ii. A = {x:x2 – 3x + 2 = 0}, B = {x:x + 7 is a perfect square}. b) [4 codomain are the real numbers, are one-to-one, which are onto, and which have inverses, justify your answers: i. f(x) = |x|. ii. f(x) — х3 + 6. Which of the following functions, whose domain and
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