Which value does not satisfy the inequality 10 − 2x ≥ 4?

Correct answer: x = 4

The governing concept is solving the inequality first and then testing the listed values. Starting with 10 − 2x ≥ 4, subtract 10 from both sides to obtain −2x ≥ −6. Dividing by −2 reverses the sign, so x ≤ 3. Therefore every value at most 3 satisfies the inequality, whereas x = 4 does not; option A is correct. Direct checking confirms this: for x = 4, 10 − 2(4) = 2, and 2 ≥ 4 is false. For x = 3, the result is 4, which satisfies equality. For x = 2 and x = 1, the results are 6 and 8, both at least 4. Thus the question’s wording asks for the one value outside the solution set, namely 4.