Question

The diagram represents two inequations A and B on real number lines:

1. Write down A and B in set builder notation.
2. Represent A ∪ B and A ∩ B' on two different number lines.

Answer 1

(i) Given:

A = {x ∈ R: -2 ≤ x < 5}

B = {x ∈ R: -4 ≤ x < 3}

(ii) A ∩ B = {x ∈ R: -2 ≤ x < 3}

It can be represented on number line as:

A ∩ B’ = A - B = {x ∈ R: 3 ≤ x < 5}

It can be represented on number line as: