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

Question

Pls get it right

Answer 1

To translate the statement "Fifteen less than four times a number is more than 49" into an inequality, we can break it down as follows:

1. "Four times a number" can be represented as \( 4x \).
2. "Fifteen less than four times a number" translates to \( 4x - 15 \).
3. "Is more than 49" represents the inequality \( > 49 \).

Putting these together, we can write the inequality:

\[ 4x - 15 > 49 \]

Now, to solve for \( x \), we can follow these steps:

1. Add 15 to both sides: \[ 4x - 15 + 15 > 49 + 15 \] \[ 4x > 64 \]

2. Divide both sides by 4: \[ x > 16 \]

So, the solution to the inequality is:

\[ x > 16 \]

This means that all possible values of \( x \) are greater than 16.