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 #$\square$ correctly states the values that make the inequality true in set notation.

Explanation:

Step1: Solve the inequality

To solve \(2m < 14\), divide both sides by 2.
\( \frac{2m}{2} < \frac{14}{2} \)
This simplifies to \(m < 7\).

Step2: Recall set notation

Set notation for a set of values \(m\) with the condition \(m < 7\) is \(\{m : m < 7\}\), where the colon means "such that".

Answer:

Option #1: \(\{m : m < 7\}\)