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 translate the given statement into an inequality, let \( x \) represent the number. The phrase "four times a number" can be expressed as \( 4x \), and "fifteen less than four times a number" can be written as \( 4x - 15 \). The statement "is more than 49" indicates that we will use the greater than symbol \( > \).

Putting it all together, the inequality can be written as:

\[
4x - 15 > 49
\]

This inequality can be solved to find the possible values of \( x \).