Define relations S and R on the set A = {x, y, z, w} as follows S = {(y, x), (x, w), (w, z), (x, x)}, R%3D (х, у), (w, и), (у, w), (z, х)}. then S. S is O{(y,w), (y,x), (x,z), (x,w), (x,x)}. OL{(y,w), (x,z)}. O{(y,w), (y,x), (x,z), (x,w)}. O{(y,w), (y,x), (x,z)}. Onone of the other answers. and S• R•S-l is O{(x,z), (w,x), (z,z),(x,x)}. O{(x,y), (w,w), (y,w), (z,x) }. Ol{(x,y), (w,w), (w,y), (z,x), (x,w)}. O{(x,2), (w,x), (z,z)}. Onone of the other answers. Pick the correct statement among the following: OR is a function but S and S R are not functions. OR and S o R are functions but S is not a function. OAII R, S and S• R are functions. OAII R, S and S R are not functions. ONone of the other statements is correct.

Define relations S and R on the set A = {x, y, z, w} as follows S = {(y, x), (x, w), (w, z), (x, x)}, R%3D (х, у), (w, и), (у, w), (z, х)}. then S. S is O{(y,w), (y,x), (x,z), (x,w), (x,x)}. OL{(y,w), (x,z)}. O{(y,w), (y,x), (x,z), (x,w)}. O{(y,w), (y,x), (x,z)}. Onone of the other answers. and S• R•S-l is O{(x,z), (w,x), (z,z),(x,x)}. O{(x,y), (w,w), (y,w), (z,x) }. Ol{(x,y), (w,w), (w,y), (z,x), (x,w)}. O{(x,2), (w,x), (z,z)}. Onone of the other answers. Pick the correct statement among the following: OR is a function but S and S R are not functions. OR and S o R are functions but S is not a function. OAII R, S and S• R are functions. OAII R, S and S R are not functions. ONone of the other statements is correct.

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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Concept explainers

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

Define relations S and R on the set
A = {x, y, z, w} as follows:
S %3D {(у, х), (х, w), (w, z), (х, х)},
R =
(х, у), (w, w), (у, w), (z, х)}.
then So S is
O{(y,w), (y,x), (x,z), (x,w), (x,x)}.
O{(y,w), (x,z)}.
OI{(y,w), (y,x), (x,z), (x,w)}.
O{(y,w), (y,x), (x,z)}.
Onone of the other answers.
and S• R• S-l is
O{(x,z), (W,x), (z,z), (x,x)}.
O{(x,y), (w,w), (y,w), (z,x) }.
O{(x,y), (w,w), (w,y), (z,x), (x,w)}.
O{(x,z), (w,x),(z,z)}.
Onone of the other answers.
Pick the correct statement among the following:
OR is a function but S and S • R are not
functions.
OR and S o R are functions but S is not a
function.
OAII R, S and S • R are functions.
OAII R, S and S • R are not functions.
ONone of the other statements is correct.

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