GATE ME 2022 Set 2 — Question 2
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General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning
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Question
Which one of the following is a representation (not to scale and in bold) of all values of satisfying the inequality on the real number line?
Correct answer
(C) [figure]
Solution
To find the representation of all values of satisfying the given inequality, we solve it step-by-step:Given inequality:Multiply both sides by 3 to eliminate the fraction:Rearrange the terms to isolate on one side:The solution indicates that can take any value greater than or equal to . On a real number line, this is represented by a solid circle at (indicating that is included in the solution set) and a bold line or arrow extending to the right towards . Comparing this with the given options:
- Option (A) shows for some .
- Option (B) shows for some .
- Option (C) shows for some , which matches .
- Option (D) shows a disjoint set of values.
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