Properties of Real Numbers Including Symmetric and Transitive

4x+3 = 15 , 15 = 4x+3

• Transitive Property

• Substitution Property

• Reflexive Property

• Symmetric Property

If x+y = 4 and 4 = 3+1, then x+y = 3+1

• Transitive Property

• Reflexive Property

• Symmetric Property

• Substitution Property

q + p = 0 , 0 = q + p

• Transitive Property

• Reflexive Property

• Symmetric Property

• Substitution Property

If s = d - 1 and d - 1 = -12, then s = -12

• Transitive Property

• Symmetric Property

• Multiplicative Inverse Property

• Reflexive Property

Let R be a relation in the set {1,2,3,4} given by R={(1,2), (2,2), (1,1), (4,4), (1,3), (3 ,3), (3,2)} Then R is

• a) R is Reflexive and symmetric but not transitive

• b) R is Reflexive and transitive but not symmetric

• c) R is symmetric and transitive but not reflexive

• d) R is an equivalence relation

• Transitive Property

• Reflexive Property

• Substitution Property

Identify this property.

If y = z and z = 4, then y = 4.

• Symmetric

• Transitive

• Reflexive

• Transgression

If 2x + 4 = 10 and x = 3, then 2(3)+4=10

• Symmetric Property

• Substitution Property

• Transitive Property

• Distributive Property

t = t

• Substitution Property

• Transitive Property

• Reflexive Property

• Symmetric Property

xyz = xyz

• Symmetric Property

• Reflexive Property

• Substitution Property

• Transitive Property