(b) Let R= {(x,y) E R × R : 1 < x < 4 or x = 6}, %3D and S = {(x, y) E R × R: –1< y < 1}. i. Find the relations S-1 and R-1o S. ii. Represent the relations R, S, RUS and RN S in the (x, y)- plane.

(b) Let R= {(x,y) E R × R : 1 < x < 4 or x = 6}, %3D and S = {(x, y) E R × R: –1< y < 1}. i. Find the relations S-1 and R-1o S. ii. Represent the relations R, S, RUS and RN S in the (x, y)- plane.

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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Question

(b) Let
R
{(x, y) E R × R :1< x < 4 or x = 6},
and
S = {(x,y) E R × R : –1 < y < 1}.
i. Find the relations S-1 and R-1 o S.
ii. Represent the relations R, S, RUS and RnS in the (x, y)-
plane.

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