Question

Which option correctly describes the values that make the inequality 2m<14
true when written in set notation?

Option #1: {m:m<7}


Option #2: {7:7<m}


Option #3: {m<7:m}


Option #4: {m<7}


(1 point)
Option #
correctly states the values that make the inequality true in set notation.

Answer 1

To solve the inequality \(2m < 14\), we can divide both sides by 2:

\[
m < \frac{14}{2}
\]
\[
m < 7
\]

Now, we can express this solution in set notation. The correct representation in set notation would be all values of \(m\) such that \(m < 7\), which can be expressed as:

**Option #1: {m : m < 7}**

This means "the set of all \(m\) such that \(m\) is less than 7."

Therefore, the correct option is:

**Option #1**.