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प्रश्न
If A = (–7, 3], B = [2, 6] and C = [4, 9] then find A ∩ B
उत्तर
A = (– 7, 3] = {x / x ∈ R, – 7 < x ≤ 3}
B = [2, 6] = {x / x ∈ R, 2 ≤ x ≤ 6}
C = [4, 9] = {x / x ∈ R, 4 ≤ x ≤ 9}
A ∩ B = {x / x ∈ R, – 7 < x ≤ 3} ∩ {x / x ∈ R, 2 ≤ x ≤ 6}
= {x / x ∈ R, 2 ≤ x ≤ 3}
= [2, 3]
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