Font Paragraph Styles Editing Voice Editor Reuse Q–2: a) Let U = {x: x is an integer and 2 < x < 10}. In each of the following cases, find A, B and determine whether A C B,B C A, both or 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) Which of the following functions, whose domain and 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. 2 English (United Kingdom) Accessibility: Unavailable O Focus Lo 8:37 e to search 17°C ENG 4/11/

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Chapter2: Second-order Linear Odes
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Q-2:
a) Let U = {x: x is an integer and 2 < x < 10}. In each of the following cases,
find A, B and determine whether A C B,B C A, both or neither:
i. А —
{x: 2x + 1> 7}, B = {x: x² > 20}.
ii. A = {x:x? – 3x + 2 = 0}, B = {x:x +7 is a perfect square}.
b) Which of the following functions, whose domain and 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.
Page 4 of 7
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English (United Kingdom) Accessibility: Unavailable
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4/11/2022
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Transcribed Image Text:AutoSave MT131 TMA_April_2022 -.. Search (Alt+Q) Yasser Ahmed Abozeid 不 ff YA File Home Insert Draw Design Layout References Mailings Review View Help P Comments A Share O Find - Cambria Math v 14 A^ A° Aav Ao AаBЬСcD. AаBbC AаBbСcI AaBbСcI Sc Replace Paste В IUab х, х* А A Emphasis Heading 1 I Normal 1 No Spac... Dictate Editor Reuse A Select v Files Clipboard a Font Paragraph Styles Editing Voice Editor |Reuse Files Q-2: a) Let U = {x: x is an integer and 2 < x < 10}. In each of the following cases, find A, B and determine whether A C B,B C A, both or neither: i. А — {x: 2x + 1> 7}, B = {x: x² > 20}. ii. A = {x:x? – 3x + 2 = 0}, B = {x:x +7 is a perfect square}. b) Which of the following functions, whose domain and 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. Page 4 of 7 821 words English (United Kingdom) Accessibility: Unavailable D Focus 100% 8:37 AM e Type here to search 17°C ENG 4/11/2022 2 (8)
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