AlgebraEasy–MediumGraphing an inequality: dashed versus solid boundary
Algebra practice question
In the xy-plane, the solution set of y < 2x + 3 is shaded. Which statement about the graph is true?
- A. The boundary line is dashed, and the region below it is shaded.Correct
- B. The boundary line is solid, and the region below it is shaded.
- C. The boundary line is dashed, and the region above it is shaded.
- D. The boundary line is solid, and the region above it is shaded.
Answer: A. The boundary line is dashed, and the region below it is shaded.
A strict inequality (<) uses a dashed line; y less than the line means the region below it.
Why the other answers are wrong
- B. The boundary line is solid, and the region below it is shaded.
- A solid line would include the boundary, which < excludes.
- C. The boundary line is dashed, and the region above it is shaded.
- y < means below the line.
- D. The boundary line is solid, and the region above it is shaded.
- Wrong on both counts.
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