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

(i) Write down A and B in set builder notation.

(ii) Represent $A \cap B a n d A \cap B^{'}$ on two different number lines.

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Solution

(i) A = {x ∈ R: -2 ≤ x < 5}
B = {x ∈ R: -4 ≤ x < 3}

(ii) A ∩ B = {x ∈ R: -2 ≤ x < 5}
It can be represented on number line as:

B’ = {x ∈ R: 3 < x ≤ -4}
A ∩ B’ = {x ∈ R: 3 ≤ x < 5}
It can be represented on number line as:

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