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

To solve the inequality, we need to isolate x.

First, subtract 1 from both sides:
4x + 1 - 1 ≤ 5.83 - 1
4x ≤ 4.83

Next, divide both sides by 4:
(4x)/4 ≤ 4.83/4
x ≤ 1.2075

Therefore, any value of x that is less than or equal to 1.2075 will make the inequality true.

To solve the inequality 4x + √1 ≤ 5.83, we can start by isolating the variable x:

4x + √1 ≤ 5.83

Subtracting √1 from both sides:

4x ≤ 5.83 - √1

Simplifying:

4x ≤ 5.83 - 1

4x ≤ 4.83

Next, we want to isolate x, so we divide both sides by 4:

x ≤ 4.83/4

x ≤ 1.2075

Therefore, the values of x that make the inequality true are x ≤ 1.2075.