Which of the following values for x makes the inequality √4x+1 ≤ 5.83 true?(1 point)

To solve the inequality \( \sqrt{4x + 1} \leq 5.83 \), we start by squaring both sides:

\[
4x + 1 \leq (5.83)^2
\]

Calculating \( (5.83)^2 \):

\[
(5.83)^2 = 33.9889
\]

So the inequality becomes:

\[
4x + 1 \leq 33.9889
\]

Next, we subtract 1 from both sides:

\[
4x \leq 33.9889 - 1
\]

\[
4x \leq 32.9889
\]

Now, divide by 4:

\[
x \leq \frac{32.9889}{4}
\]

Calculating \( \frac{32.9889}{4} \):

\[
x \leq 8.247225
\]

Now we can determine which of the given options satisfies this inequality:

A) \( 8 \) → \( 8 \leq 8.247225 \) (True)

B) \( 9.5 \) → \( 9.5 \leq 8.247225 \) (False)

C) \( 10 \) → \( 10 \leq 8.247225 \) (False)

D) \( 9 \) → \( 9 \leq 8.247225 \) (False)

Therefore, the only value of \( x \) that makes the inequality true is:

**A) 8**