Which of the following values for n makes the inequality √2n < 5 true?(1 point)

Question

Responses

16
16

18
18

8
8

12.5

Answer 1

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

\[ 2n < 25 \]

Next, we divide both sides by 2:

\[ n < 12.5 \]

Now we need to determine which of the given values is less than 12.5:

• 16 (not less than 12.5)
• 18 (not less than 12.5)
• 8 (less than 12.5)
• 12.5 (not less than 12.5)

The only value that satisfies the inequality is:

8