For the inequality y ≥ 2x + 1, which side is shaded?

Correct answer: Above the line

To graph y ≥ 2x + 1, first draw the boundary line y = 2x + 1. The inequality says that y is greater than or equal to the value given by the line for the same x-coordinate. Therefore the solution consists of the half-plane above the line, and because equality is allowed, the boundary itself is included and is drawn as a solid line. A point test also confirms this: (0, 2) satisfies 2 ≥ 1 and lies above the line, whereas (0, 0) does not satisfy 0 ≥ 1. Thus option B is correct; option A represents the opposite inequality, option C omits valid points, and option D includes points that do not satisfy the condition.