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Question
Find the greatest integer which is such that if 7 is added to its double, then the resulting number is greater than three times the integer.
Options
7
8
6
none of these
MCQ
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Solution
6
Explanation:
Let the greatest integer = x
According to the condition,
2x + 7 > 3x
⇒ 2x – 3x > –7
⇒ –x > –7
⇒ x < 7
∴ Value of x which is greatest = 6.
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