which of the following values for n makes the inequality √2n < 5 true

Answer 1

To solve the inequality \( \sqrt{2n} < 5 \), we first square both sides to eliminate the square root (noting that both sides are positive since we are dealing with a square root). This leads to:

\[ 2n < 25 \]

Now, divide both sides by 2:

\[ n < \frac{25}{2} \]

Thus:

\[ n < 12.5 \]

This means that any value of \( n \) that is less than \( 12.5 \) will satisfy the inequality \( \sqrt{2n} < 5 \). So if you have specific options for \( n \), choose the one that is less than \( 12.5 \).