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. Use the letter x as your variable and write your x term first.

Answer 1

Let's use the variable "x" to represent the number.

The phrase "four times a number" can be written as 4x.

The phrase "Fifteen less than four times a number" can be written as 4x - 15.

The phrase "is more than 49" can be written as ">", so we have the inequality: 4x - 15 > 49.

To solve this inequality, we need to isolate the x term. Let's add 15 to both sides of the inequality: 4x > 49 + 15. Simplifying, we have 4x > 64.

Finally, divide both sides of the inequality by 4 to solve for x: x > 16.

Therefore, the possible values of the number are all the numbers greater than 16.