Question

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.(1 point)

Answer 1

To express the statement "Fifteen less than four times a number is more than 49" in terms of an inequality, we start by defining the variable \( x \) as the number in question.

"Four times a number" can be written as \( 4x \), and "fifteen less than four times a number" translates to \( 4x - 15 \).

Now, we set up our inequality based on the phrase "is more than 49":

\[
4x - 15 > 49
\]

This is the inequality that represents the problem.

Now we can solve for \( x \):

1. Add 15 to both sides:

\[
4x > 49 + 15
\]

\[
4x > 64
\]

2. Now, divide both sides by 4:

\[
x > 16
\]

Thus, the solution shows that all possible values of the number \( x \) must be greater than 16.