Fifteen less than four times a number is more than 49. What are all the possible values of the number? Write an inequality that could be used to solve this problem.
Let's call the number x.
The problem states that "Fifteen less than four times a number is more than 49." This can be translated into the equation: 4x - 15 > 49.
To solve this inequality, we can start by adding 15 to both sides of the inequality: 4x > 49 + 15. Simplifying, we get 4x > 64.
Finally, we divide both sides of the inequality by 4 to solve for x: x > 16.
Therefore, all possible values of the number x are any number greater than 16. In interval notation, this can be written as: x ∈ (16, ∞).