Given that P = {x : 2 ≤ x ≤ 8} and Q = {x : 4 < x ≤ 12} are subsets of the universal set μ = {x : x ∈ R}, find (P ⋂ Q $^1$ )

{x : 4 < x < 8}

{x : 2 < x ≤ 4}

{x : 2 ≤ x ≤ 4}

{x : 4 ≤ x ≤ 8}

Correct answer is C

Explanation

P = {x : 2 ≤ x ≤ 8} = {2, 3, 4, 5, 6, 7, 8}

Q = {x : 4 < x ≤ 12} = {5, 6, 7, 8, 9, 10, 11, 12}

Q1 = R - {5, 6, 7, 8, 9, 10, 11, 12} = {..., 2, 3, 4, 13, 14, 15, ...}

∴ P ⋂ Q $^1$ = {2, 3, 4} = {x : 2 ≤ x ≤ 4}

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Given that P = {x : 2 ≤ x ≤ 8} and Q = {x : 4 < x ≤ 12} are subsets of the universal set μ = {x : x ∈ R}, find (P ⋂ Q $^1$ )

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Given that P = {x : 2 ≤ x ≤ 8} and Q = {x : 4 < x ≤ 12} are subsets of the universal set μ = {x : x ∈ R}, find (P ⋂ Q1^1)

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