AlgebraVery hardLength of an absolute-value solution interval
Algebra practice question
The solutions of |3x − 6| ≤ 9 form an interval on the number line. What is the length of that interval?
Answer: 6
−9 ≤ 3x − 6 ≤ 9 gives −3 ≤ 3x ≤ 15, so −1 ≤ x ≤ 5: an interval of length 6.
Common wrong answers
- If you answered 4
- 4 pairs the endpoints 1 and 5, dropping the sign of −1.
- If you answered 5
- 5 is the right endpoint, not the length.
- If you answered 18
- 18 is the length before dividing by 3.
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