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Question
The diagram represents two inequations A and B on real number lines:
- Write down A and B in set builder notation.
- Represent A ∪ B and A ∩ B' on two different number lines.
Solution
(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:
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