(b) Show that x E R, x2 – 4x + 5 > 0.x² +1(c) Prove that if A =r2x ER} then A is a bounded subset of R.2.x + 3-1.

As this is a multiple question type, only first question is to be solved, according to the Bartleby…

Answered: (b) Show that xE R, x2 - 4x + 5 > 0.

Math

Calculus

(b) Show that xE R, x2 - 4x + 5 > 0.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.2: Mappings

Problem 26E: 26. Let and. Prove that for any subset of T of .

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Question

(b) Show that x E R, x2 – 4x + 5 > 0.
x² +1
(c) Prove that if A =
r2
x ER} then A is a bounded subset of R.
2.x + 3
-
1.

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