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.

Answer 1

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.