$] 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, BC A, both or neither: %3D 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}. a) [2+2 marks] 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. %D 100%

$] 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, BC A, both or neither: %3D 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}. a) [2+2 marks] 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. %D 100%

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.1: Real Numbers

Problem 40E

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