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Let's represent the number as "x".
According to the problem, the inequality that represents the given information is:
4x - 15 > 49
To solve for x, we can add 15 to both sides of the inequality:
4x - 15 + 15 > 49 + 15
This simplifies to:
4x > 64
Finally, we can solve for x by dividing both sides of the inequality by 4:
x > 16
The possible values of the number are all values greater than 16.