AlgebraEasy–MediumCompound inequality from a number line
Algebra practice question
On a number line, a graph has a closed dot at −2, an open dot at 4, and shading between them. Which compound inequality is graphed?
- A. −2 ≤ x < 4Correct
- B. −2 < x ≤ 4
- C. −2 < x < 4
- D. x ≤ −2 or x > 4
Answer: A. −2 ≤ x < 4
The closed dot includes −2; the open dot excludes 4.
Why the other answers are wrong
- B. −2 < x ≤ 4
- The dots are the wrong way round.
- C. −2 < x < 4
- −2 is included.
- D. x ≤ −2 or x > 4
- The shading is between the dots, not outside them.
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