0
No. It is not transitive.
x ≠y and y ≠z does not imply that x ≠z
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
What is a value or values that make an inequality true?
a solution of inequality
When is the only time you flip an inequality sign?
When you divide both sides of an inequality by a negative number, the inequality sign flips.
Solve the inequality and enter your solution as an inequality comparing the variable to the solution -3 plus x10?
Solve the inequality and enter your solution as an inequality comparing the variable to the solution. -33+x<-33
A solution for the inequality 3x-1is?
4
Do you flip the inequality sign if the only the variable is negative?
No, you only flip the inequality sign if you are dividing by a negative number on both sides of the inequality
What is the largest equivalence relation on a set A?
An equivalence relation on a set is one that is transitive, reflexive and symmetric. Given a set A with n elements, the largest equivalence relation is AXA since it has n2 elements. Given any element a of the set, the smallest equivalence relation is (a,a) which has n elements.
What do you mean by equivalence relation Give atleast two examples of equivalence relation?
An relation is equivalent if and only if it is symmetric, reflexive and transitive. That is, if a ~ b and b ~a, if a ~ a, and if a ~ b, and b ~ c, then a ~ c.
What is meant by symmetric reflexive and transitive property and also equivalence relation?
First, let's define an equivalence relation. An equivalence relation R is a collection of elements with a binary relation that satisfies this property:Reflexivity: ∀a ∈ R, a ~ aSymmetry: ∀a, b ∈ R, if a ~ b, then b ~ aTransitivity: ∀a, b, c ∈ R, if a ~ b and b ~ c, then a ~ c.
What is Equivalence class?
An equivalence relation ~ on A partitions into pairwise disjoint subsets called equivalence classes so that 1. Within each class, every pair relates 2. Between classes there is no relation i.e. [x] = {a (element) A | a~x} and given two equivalence classes [a] and [b], either [a] = [b] or [a] intersect [b] = the empty set
What is the definition of inequality?
An inequality is simply a relation between two mathematical expressions that is not strictly equal. For example, the relation can be "greater than" (>), less than (
What is the relation between pK and pH?
At half equivalence (half neutralisation) pH=pK.
What is the different between equation and inequality?
An equation is a mathematical that asserts theequality of two expressions. An inequality is a relation that holds between two values when they are different.
What makes an inequality true?
Although there are many numbers that may make an inequality true if something is greater than the other and the larger of the inequality relation is facing that side then it is true. 5>2 true 5<2 is false
What has the author Paolo Figini written?
Paolo Figini has written: 'Inequality measures, equivalence scales and adjustment for household size and composition' -- subject(s): Income distribution
What are equivalence relations?
An equivalence relation r on a set U is a relation that is symmetric (A r Bimplies B r A), reflexive (Ar A) and transitive (A rB and B r C implies Ar C). If these three properties are true for all elements A, B, and C in U, then r is a equivalence relation on U.For example, let U be the set of people that live in exactly 1 house. Let r be the relation on Usuch that A r B means that persons A and B live in the same house. Then ris symmetric since if A lives in the same house as B, then B lives in the same house as A. It is reflexive since A lives in the same house as him or herself. It is transitive, since if A lives in the same house as B, and B lives in the same house as C, then Alives in the same house as C. So among people who live in exactly one house, living together is an equivalence relation.The most well known equivalence relation is the familiar "equals" relationship.
What is an equivalent?
Could you be more specific? An equivalence relation effectively partitions a set into nonoverlapping subsets.
If S equals straight lines in the plane and ab if a and b are parallel Verify that the relation is an equivalence relation on the set S given?
Establishing equivalence depends on the definition of parallel lines. If they are defined as lines which cannot ever meet (have no point in common), then the relation is not reflexive and so cannot be an equivalence relation.However, if the lines are in a coordinate plane and parallel lines are defined as those which have the same gradient then:the gradient of a is the gradient of a so the relationship is reflexive ie a ~ a.if the gradient of a is m then b is parallel to a if gradient of b = m and, if the gradient of b is m then b is parallel to a. Thus the relation ship is symmetric ie a ~ b b ~ a.If the gradient of a is m then b is parallel to a if and only if gradient of b = gradient of a, which is m. Also c is parallel to b if and only if gradient of c = gradient of b which is m. Therefore c is parallel to a. Thus the relation is transitive, that is a ~ b and b ~ c => a ~ c.The relation is reflexive, symmetric and transitive and therefore it is an equivalence relationship.
