Solutions of the inequalities comprising a system in variable x are represented on number lines as given below, then ______. - Mathematics

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MCQ
Fill in the Blanks

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]

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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 .

Concept: Algebraic Solutions of Linear Inequalities in One Variable and Their Graphical Representation
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APPEARS IN

NCERT Mathematics Exemplar Class 11
Chapter 6 Linear Inequalities
Solved Examples | Q 12 | Page 105
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