Fifteen less than four times a number is more than 49. Write an inequality that could be used to solve this problem. The inequality has been started for you. Fill in the remaining blanks.(1 point)

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
4x ​​​​​​Response area Response area Response area

1 answer

To set up the inequality based on the given problem, we need to interpret the phrase "Fifteen less than four times a number".

Let's denote the number as \( x \). "Four times a number" would be represented as \( 4x \). "Fifteen less than four times a number" means we subtract 15 from \( 4x \), which gives us \( 4x - 15 \).

The problem states that this quantity is more than 49, which can be expressed as:

\[ 4x - 15 > 49 \]

So the completed inequality is:

\[ 4x - 15 > 49 \]