Mathematics
The given diagram represents two sets A and B on real number lines.
(i) Write down A and B in set-builder form.
(ii) Represent A ∪ B, A ∩ B, A' ∩ B, A - B and B - A on separate number lines.
Linear Inequations
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Answer
(i) From graph,
A = {x ∈ R : -3 < x ≤ 2}, B = {x ∈ R : 0 ≤ x < 5}
(ii) From graph,
A ∪ B = {x ∈ R : -3 < x < 5}
A ∩ B = {x ∈ R : 0 ≤ x ≤ 2}
A' ∩ B = {x ∈ R : -2 < x < 5}
A - B = {x ∈ R : -3 < x < 0}
B - A = {x ∈ R : 2 < x < 5}
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