Maths (Set Notation and Inequalities)

A = B

If they have precisely the same elements.

Describe the relationship between A = {4,9} and B = {4,9}.

A = B

A ∪ B

Union —> Elements that belong to set A or set B.

A ∩ B

Intersection —> Elements that belong to both sets A and B.

A ⊆ B

Subset —> Every element of A is also an element of B.

Define the relationship between: A = {1, 2 , 3} and B = {1, 2, 3, 4, 5, 6, 7, 8}

A ⊆ B

A ⊄ B

A is not a subset of B

A ⊂ B

Proper subset —> A has more elements than B.

A’

All the elements that are not in A.

a ∈ B

a is an element of B.

B = {1, 2, 3, 4} y = 3 —> what is the relationship between y and B?

y ∈ B

y ∉ A

y is not an element of A.

A = {1, 2, 3, 4} y = 31 —> what is the relationship between y and A?

y ∉ A

What type of dot is used for ≤?

A filled in dot

What dot is used for <?

An empty dot

When graphing linear equations what line is used for ≤?

A normal line

What is the line used for graphing <?

A dotted line