Final answer:
The solution to the inequality 4 + a / 4 ≤ 2 after isolating the variable and multiplying by 4 is a ≤ -8. The options provided in the question do not match the correct answer. There may be a typo in the question or answer choices.
Step-by-step explanation:
To solve the inequality 4 + a / 4 ≤ 2, we start by isolating the variable a. First, we subtract 4 from both sides of the inequality:
a / 4 ≤ 2 - 4
a / 4 ≤ -2
Next, we multiply both sides by 4 to get a by itself:
a ≤ -2 * 4
a ≤ -8
Therefore, the solution to the inequality is a ≤ -8, which is not listed as an option in the given choices (A) a≤4 (B) a≤−5 (C) a≤−14 (D) a≤−11. It appears there may have been a typo in the question or the answer choices.