Question

15 < 4 times a number is more than 49.What are all the possible values of the number writing?An equality that could be used to solve this problem.Use the letter x as your variable.And write your ex term first

Answer 1

To solve the inequality given in the statement "15 < 4 times a number is more than 49", we can break it down step by step.

1. Define the variable:
Let \( x \) represent the number.

2. Translate the words into an inequality:
The phrase "4 times a number" can be expressed as \( 4x \). The statement can be interpreted as "15 is less than 4 times a number that is greater than 49". Therefore, we can set up the inequality as follows:

\[
4x > 49
\]

3. Solve for \( x \):
To solve the inequality \( 4x > 49 \), we will divide both sides by 4:

\[
x > \frac{49}{4}
\]

Simplifying \( \frac{49}{4} \):

\[
\frac{49}{4} = 12.25
\]

Therefore, the solution to the inequality is:

\[
x > 12.25
\]

4. Summary of results:
The possible values of \( x \) are all numbers greater than \( 12.25 \). In interval notation, this can be expressed as:

\[
(12.25, \infty)
\]

So, the inequality you would use to represent the situation is:
\[
4x > 49
\]
And the solution indicates that \( x \) must be greater than \( 12.25 \).