Find the solution set of 0.25x − 1.5 ≥ 2.

Correct answer: x ≥ 14

This is a linear inequality with a positive decimal coefficient. Add 1.5 to both sides: 0.25x ≥ 3.5. Since 0.25 is positive, division preserves the ≥ sign. Thus x ≥ 3.5 ÷ 0.25 = 14. The same calculation can be made without decimals: 0.25 = 1/4 and 3.5 = 7/2, so x/4 ≥ 7/2; multiplying by 4 gives x ≥ 14. Therefore option A is correct, and equality is included because the original sign is ≥. Option B reverses the direction incorrectly, option C excludes the valid endpoint 14, and option D comes from an incorrect division. The solution set is [14, ∞).