Which of the fallowing values for n makes the inequality sqaure root of 2n lessthen 5 true ?

Answer 1

To solve the inequality \(\sqrt{2n} < 5\), we first square both sides to eliminate the square root. This gives us:

\[ 2n < 25 \]

Next, we divide both sides by 2:

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

Calculating that gives:

\[ n < 12.5 \]

Therefore, any value of \(n\) that is less than 12.5 will satisfy the inequality \(\sqrt{2n} < 5\). For example, \(n\) could be 12, 10, 0, or even negative values.

So the values for \(n\) that make the inequality true are all values \(n < 12.5\).