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To solve this problem, we can translate the given information into an inequality. Let's assume the number being discussed as "x".
"15 less than four times a number" can be written as: 4x - 15.
"More than 49" can be written as: > 49.
So, the inequality that represents the given information would be: 4x - 15 > 49.
The possible values of the number "x" can be found by solving this inequality.