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.

Answer 1

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, ∞).