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Question

Solutions of which of the inequalities comprising a system in variable x are represented on number lines as given below, (black color is taken in consideration)


A

x ∈ (–∞, – 4) ∪ [3, ∞)

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B

x∈ [– 3, 1]

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C

x ∈ (–∞, – 4) ∪ (3, ∞)

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D

x∈ [– 4, 3]

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Solution

The correct option is D

x ∈ (–∞, – 4) ∪ [3, ∞)

Given number lines:

So, the solution of first number line and second line is R[4,3) and R[3,1)
Thus, required solution is {R[4,3)}{R[3,1)}
=R{[4,3)[3,1)}
=R{[4,3)}
x ϵ (,4) [3, )


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