What is the solution of (x+7\ge 7)?

Correct answer: (x\ge 0)

The direct answer is option A: x≥0. Begin with x+7≥7. Subtract 7 from both sides: x≥0. Subtraction does not change the inequality direction. A is correct and includes 0, because 0+7=7 and 7≥7 is true. B, x≤0, reverses the direction without a reason and wrongly excludes positive solutions such as x=1. C, x≥14, comes from an incorrect operation; the 7 is removed by subtracting 7, not by adding 7 to obtain 14. It also wrongly excludes x=1. D, x≤14, has the wrong direction and includes negative values such as -1, for which -1+7=6≥7 is false. Equality matters: the original sign is ≥, so the boundary value 0 is included. On a number line, shade 0 and everything to its right. Memory cue: subtract the constant, preserve the sign, and include the endpoint for ≥ or ≤.