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Question
Find the greatest integer which is such that if 7 is added to its double, the resulting number becomes greater than three times the integer.
Solution
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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