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Question

Mathematics Question on Sets and their Representations

Write the following as intervals:
(i) {x:x∈R,−4<x≤6x: x ∈ R, -4 < x ≤ 6}
(ii) {x:x∈R,−12<x<−10x: x ∈ R, -12 < x < -10}
(iii) {x:x∈R,0≤x<7x: x ∈ R, 0 ≤ x < 7}
(iv) {x:x∈R,3≤x≤4x: x ∈ R, 3 ≤ x ≤ 4}

Answer

(i) {x:x∈R,−4<x≤6x: x ∈ R, -4 < x ≤ 6} = [-4, 6]

(ii) {x:x∈R,−12<x<−10x: x ∈ R, -12 < x < -10} = (-12, -10)

(iii) {x:x∈R,0≤x<7x: x ∈ R, 0 ≤ x < 7} = [0, 7]

(iv) {x:x∈R,3≤x≤4x:x ∈ R, 3 ≤ x ≤ 4} = [3, 4]