Question

The diagrams represent two inequations A and B on real number lines:

A =

B =

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) A = {x : −2 ≤ x < 5 and x ∈ R}

B = {x : −4 ≤ x < 3 and x ∈ R}

(ii) A ∩ B = Numbers common to both A and B

= {x : −2 ≤ x < 3}

A ∩ B' = Numbers which belong to A but do not belong to B

= {x : 3 ≤ x < 5}