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Question
Solutions of the inequalities comprising a system in variable x are represented on number lines as given below, then ______.
Options
x ∈ (–`oo`, –4] ∪ [3, `oo)`
x ∈ [–3, 1]
x ∈ (–`oo`, –4) ∪ [3, `oo`)
x ∈ [–4, 3]
Solution
Solutions of the inequalities comprising a system in variable x are represented on number lines as given below, then x ∈ (–∞, –4] ∪ [3, ∞).
Explanation:
x ∈ (–∞, –4] ∪ [3, ∞) is the correct choice. Common solution of the inequalities is from –∞ to –4 and 3 to ∞.
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