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If A = (–7, 3], B = [2, 6] and C = [4, 9] then find A – B - Mathematics and Statistics

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Question

If A = (–7, 3], B = [2, 6] and C = [4, 9] then find A – B

Sum

Solution

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, – 7 < x ≤ 2}

= (– 7, 2)

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Chapter 5: Sets and Relations - Exercise 5.1 [Page 98]

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