determine that the relation is symmetric and transitive, Mathematics

1. Let R and S be relations on a set A. For each statement, conclude whether it is true or false. In each case, provide a proof or a counterexample, whichever applies.

(a) If R and S are transitive, then R υ S is also a transitive relation on A.

(b) If R is symmetric and transitive, then R is also reflexive.

(c) If R and S are partial orders on A, then R ∩ S is also a partial order on A.

Posted Date: 3/30/2013 3:58:14 AM | Location : United States







Related Discussions:- determine that the relation is symmetric and transitive, Assignment Help, Ask Question on determine that the relation is symmetric and transitive, Get Answer, Expert's Help, determine that the relation is symmetric and transitive Discussions

Write discussion on determine that the relation is symmetric and transitive
Your posts are moderated
Related Questions
Ashley's car insurance costs her $115 per month. How much does it cost her per year? Multiply $115 by 12 because there are 12 months in a year; $115 × $12 = $1,380 per year.

(a) Find the curve on the surface z=x 3/2 joining the points(x,y,z)=(0,0,0) and (1,1,1) has the shortest arc lenght? (b) Use a computer to produce a plot showing the surface an

Find the present value of an ordinary annuity which has payments of 2300 per year for 15 years at 6% compounded annually

How is the probability distribution of a random variable constructed? Usually, the past behavior of the variable is studied and the frequency distribution of the past data is form

Trace the curve y 2 = (x + 2) 2 (x - 6). Clearly state all the properties you have used for tracing it(e.g., symmetry about the axes, symmetry about the origin, points of interse

How will the decimal point move when 245.398 is multiplied by 100? It is moved two places to the right. While multiplying by multiples of 10, the decimal point is moved to the

Root of function: All throughout a calculus course we will be determining roots of functions.  A root of function is number for which the function is zero.  In other terms, determ

let R be a (noncommutative) ring. Given that a,b and a+b ? R are all units, prove that a^(-1)+b^(-1) is a unit

A one-line diagram of a simple three-bus power system is shown in Figure 1 with generation at bus 1. The magnitude of voltage at bus 1 is adjusted to 1.05 per unit. The scheduled l

From top of a tower a stone is thrown up and it reaches the ground in time t1. A second stone is thrown down with the same speed and it reaches the ground in t2. A third stone is r