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

10, 8, 9, 9.5

1 answer

To solve the inequality √4x+1 ≤ 5.83, we can start by subtracting 1 from both sides:

√4x ≤ 4.83

Next, we can square both sides to eliminate the square root:

(√4x)^2 ≤ (4.83)^2

4x ≤ 23.3489

Now, we can divide both sides by 4 to isolate x:

x ≤ 5.837225

Among the given options, the only value of x that satisfies the inequality is 9, since 9 is less than 5.837225.