**Required Information****NOTE:** This is a multi-part question. Once an answer is submitted, you will be unable to return to this part.Consider the following relations:- $ R_1 = \{(a, b) \in \mathbb{R}^2 \mid a > b\} $, the greater than relation- $ R_2 = \{(a, b) \in \mathbb{R}^2 \mid a \geq b\} $, the greater than or equal to relation- $ R_3 = \{(a, b) \in \mathbb{R}^2 \mid a < b\} $, the less than relation- $ R_4 = \{(a, b) \in \mathbb{R}^2 \mid a \leq b\} $, the less than or equal to relation- $ R_5 = \{(a, b) \in \mathbb{R}^2 \mid a = b\} $, the equal to relation- $ R_6 = \{(a, b) \in \mathbb{R}^2 \mid a \neq b\} $, the unequal to relationFor these relations on the set of real numbers, find $ R_2 \circ R_2 $.**Multiple Choice**- $ R_4 $- $ R_3 $- $ R_2 $- $ R_1 $

In this question, the following relations are given ; R1 = a, b∈ℝ2 : a>b R2 = a, b∈ℝ2 : a≥b R3 =…

4 of 4 Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Consider the following relations: R₁ = [(a, b) € R² | a> b), the greater than relation R₂ = {(a, b) € R² | a ≥ b), the greater than or equal to relation R3 = {(a, b) ER² | a< b), the less than relation R₁ = {(a, b) € R² | a ≤ b), the less than or equal to relation R5 = {(a, b) € R² | a = b), the equal to relation R₁ = {(a, b) = R² | a‡ b), the unequal to relation For these relations on the set of real numbers, find R₂0 R₂. Multiple Choice O RA R3 R2 R₁

4 of 4 Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Consider the following relations: R₁ = [(a, b) € R² | a> b), the greater than relation R₂ = {(a, b) € R² | a ≥ b), the greater than or equal to relation R3 = {(a, b) ER² | a< b), the less than relation R₁ = {(a, b) € R² | a ≤ b), the less than or equal to relation R5 = {(a, b) € R² | a = b), the equal to relation R₁ = {(a, b) = R² | a‡ b), the unequal to relation For these relations on the set of real numbers, find R₂0 R₂. Multiple Choice O RA R3 R2 R₁

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Step 1

In this question, the following relations are given ;

$R_{1} = \{(a, b) \in ℝ^{2} : a > b\}$

$R_{2} = \{(a, b) \in ℝ^{2} : a \geq b\}$

$R_{3} = \{(a, b) \in ℝ^{2} : a < b\}$

$R_{4} = \{(a, b) \in ℝ^{2} : a \leq b\}$

$R_{5} = \{(a, b) \in ℝ^{2} : a = b\}$

$R_{6} = \{(a, b) \in ℝ^{2} : a \neq b\}$

For these relations on the sets of real numbers, we have to find $R_{2} o R_{2}$

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please show and explain all the steps andmake sure the answer is correct