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Question
In the following question, two statements (i) and (ii) are given. Choose the valid statement.
- 4x + 1 ≤ x + 10 gives x ≥ 3.
- 3x − 1 > x gives x > `-1/2`
Options
Only (i)
Only (ii)
Both (i) and (ii)
Neither (i) nor (ii)
MCQ
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Solution
Neither (i) nor (ii)
Explanation:
Statement (i)
4x + 1 ≤ x + 10
⇒ 4x − x ≤ 10 − 1
⇒ 3x ≤ 9
⇒ x ≤ 3, not x ≥ 3
Statement (ii)
3x − 1 > x
⇒ 3x − x > 1
⇒ 2x > 1
⇒ x > `1/2, "not" x > −1/2`
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