Shading below the line y = 2 describes which inequality?

Shading below the line y = 2 describes which inequality?

• A. y > 2
• B. y < 2
• C. y <= 2
• D. y >= 2

Answer: (B)

Shading below a horizontal boundary corresponds to all points whose y-value is less than that boundary. For the line y = 2, every point under it has y-coordinates less than 2, and the boundary line itself is not included when the inequality is strict. So the correct inequality is y < 2. If you included the line, it would be y ≤ 2, and shading above would be y > 2 or y ≥ 2, depending on whether the boundary is included.

Shading below a horizontal boundary corresponds to all points whose y-value is less than that boundary. For the line y = 2, every point under it has y-coordinates less than 2, and the boundary line itself is not included when the inequality is strict. So the correct inequality is y < 2. If you included the line, it would be y ≤ 2, and shading above would be y > 2 or y ≥ 2, depending on whether the boundary is included.