1- if ROR = 1, then Ris The partial order relation 2- If R = ((x, y) x, y E N, 3 x+y = 10) then f is symmetric 3- if R, T is equivalent relation then RnT is equivalent relation 4- (SOR) nT = 0 (To R)ns = 0 A) Ture B) Ture C) False D) Ture 5- if f:R - Ris function defined by f(x) = x -x then f is injective and surjective F) False 6-1,0 R = R if R is not equivalent relation G) False
1- if ROR = 1, then Ris The partial order relation 2- If R = ((x, y) x, y E N, 3 x+y = 10) then f is symmetric 3- if R, T is equivalent relation then RnT is equivalent relation 4- (SOR) nT = 0 (To R)ns = 0 A) Ture B) Ture C) False D) Ture 5- if f:R - Ris function defined by f(x) = x -x then f is injective and surjective F) False 6-1,0 R = R if R is not equivalent relation G) False
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Transcribed Image Text:Test the correctness of the following
statements
bläi 10
1- if RnR= 1, then R is The partial order relation
A) Ture
2- If R = ((x, y) 3 x, y E N, 3 x + y = 10} then f is symmetric
B) Ture
3- if R,T is equivalent relation then ROTis equivalent relation
C) False
4- (SOR) nT = 0 - (To R) ns =0
D) Ture
5- if f:R -R is function defined by f(x) = x* -x then f is injective and surjective
6-1,0 R = R if R is not equivalent relation
F) False
G) False
7- If GSH then GoH = G
H) Ture
S- if R is symmetric and R' is anti-symmetric then, RAR' is anti-symmetric
K) False
9- IfA is a set, it is to have a relation R are a symmetric and antisymmetric
M) False
relationship on the set at the same time
10- If F is function has an inverse then f is not bijection
N) Ture
F
C
A
1
3
4
6.
7
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