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If A = {xeR: 2≤x≤5}, B = {xeR: -2≤ x < 1}, C = {xeR: -1 < x ≤ 1}. a) Sketch the graph of CX (AUB). b) Sketch the graph of (C x A)(C× B). c) Sketch the graph of B × (AC). Define a relation R on Z by x Ry iff x + 3y, is even. Prove that R is an equivalence relation. Check whether the relation defined on the set of real numbers by R={(a,b): a b³} is reflexive, symmetric, and transitive.

If A = {xeR: 2≤x≤5}, B = {xeR: -2≤ x < 1}, C = {xeR: -1 < x ≤ 1}. a) Sketch the graph of CX (AUB). b) Sketch the graph of (C x A)(C× B). c) Sketch the graph of B × (AC). Define a relation R on Z by x Ry iff x + 3y, is even. Prove that R is an equivalence relation. Check whether the relation defined on the set of real numbers by R={(a,b): a b³} is reflexive, symmetric, and transitive.

Advanced Engineering Mathematics
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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If A = {xeR: 2≤x≤5}, B = {xeR: -2≤ x < 1}, C = {xeR: -1 < x ≤ 1}. a) Sketch the graph of CX (AUB). b) Sketch the graph of (C x A)(C× B). c) Sketch the graph of B × (AC). Define a relation R on Z by x Ry iff x + 3y, is even. Prove that R is an equivalence relation. Check whether the relation defined on the set of real numbers by R={(a,b): a b³} is reflexive, symmetric, and transitive.
Transcribed Image Text:If A = {xeR: 2≤x≤5}, B = {xeR: -2≤ x < 1}, C = {xeR: -1 < x ≤ 1}. a) Sketch the graph of CX (AUB). b) Sketch the graph of (C x A)(C× B). c) Sketch the graph of B × (AC). Define a relation R on Z by x Ry iff x + 3y, is even. Prove that R is an equivalence relation. Check whether the relation defined on the set of real numbers by R={(a,b): a b³} is reflexive, symmetric, and transitive.
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