Properties of Real Numbers MCQ (Multiple Choice Questions) PDF Download

Under property of equality of real numbers, a + c = b + c then a = b and ∀ a, b, c ∈ R is called

1. cancellation property for addition
2. additive property
3. cancellation property for multiplication
4. multiplicative property

Under property of equality of real numbers, a = b then b = a and ∀a, b ∈ R is called

1. symmetric property
2. additive property
3. transitive property
4. multiplicative property

As per properties of real numbers with respect to addition, (a + b) c + = a + (b + c) and ∀ a, b, c ∈ R is

1. closure property
2. associative property
3. additive inverse
4. commutative property

Under property of equality of real numbers, a = a and ∀ a ∈ R is called

1. reflexive property
2. symmetric property
3. additive property
4. transitive property

Under property of inequality of real numbers, a < b or a = b or a > b and ∀ a, b ∈ R is called

1. additive property
2. transitive property
3. trichotomy property
4. multiplicative property