What is the correct solution of 10 - 2x ≥ 4?

Correct answer: x ≤ 3

The governing concept is reversal of an inequality when dividing by a negative coefficient. From 10 − 2x ≥ 4, subtract 10 from both sides to get −2x ≥ −6. Divide by −2; because the divisor is negative, the inequality reverses and gives x ≤ 3. Thus option A is correct. The endpoint is included because the original symbol is ≥. Checking x = 3 gives 10 − 6 = 4, so equality holds. Checking x = 2 gives 6 ≥ 4, which is true, while x = 4 gives 2 ≥ 4, which is false. Option B results from failing to reverse the sign, and options C and D use the wrong boundary or direction.