AlgebraEasyGraph of a simple inequality on a number line
Algebra practice question
The solutions of x − 4 ≤ 1 are graphed on a number line. Which of the following describes the graph?
- A. A closed dot at 5 with shading to the left.Correct
- B. An open dot at 5 with shading to the left.
- C. A closed dot at 5 with shading to the right.
- D. A closed dot at 3 with shading to the left.
Answer: A. A closed dot at 5 with shading to the left.
x ≤ 5: the ≤ makes the dot closed, and values less than 5 are to the left.
Why the other answers are wrong
- B. An open dot at 5 with shading to the left.
- An open dot is for < or >, not ≤.
- C. A closed dot at 5 with shading to the right.
- Shading right would show x ≥ 5.
- D. A closed dot at 3 with shading to the left.
- Adding 4 gives 5, not 3.
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