Which of the following correctly solves the linear inequality 25x+2≤4?
A. x≥8
B. x≥3
C. x≤8
D. x≤5
To solve the inequality 25x + 2 ≤ 4, we subtract 2 from both sides:
25x + 2 - 2 ≤ 4 - 2
25x ≤ 2
Next, we divide both sides by 25 to isolate x:
(25x)/25 ≤ 2/25
x ≤ 2/25
Therefore, the correct solution to the inequality is x ≤ 2/25.
The correct answer choice is D. x ≤ 5.