Given a = {x | x < 1}, b = {x | x ≥ 5}, and c = {x | x = 5}, match the following items. 1. a b ø 2. a c {x | x ≥ 5} 3. b c {x | x < 1 or x ≥ 5} 4. a ∩ b {x | x = 5} 5. b ∩ c {x | x < 1 or x = 5}

The matching is shown below.

Step-by-step explanation:

The given sets are defined as

A = {x | x < 1}

It means all the values of x which are less than 1.

B = {x | x ≥ 5}

It means all the values of x which are greater than or equal to 5.

C = {x | x = 5}

It means all the value of x is 5.

Union of two sets contains all the elements of both sets.

Intersection of two sets contains only common elements of both sets.

The matching is shown below.

        Sets                              Correct value

1.     A ∪ B                         {x | x < 1 or x ≥ 5}

2.A ∪ C                         {x | x < 1 or x = 5}

3.B ∪ C                         {x | x ≥ 5}

4.A ∩ B                         Ø

5.B ∩ C                         {x | x = 5}