AlgebraMediumIntegers in an interval
Algebra practice question
How many integers x satisfy both x ≥ −2 and x < 3?
Answer: 5
The integers from −2 up to but not including 3 are −2, −1, 0, 1, 2 — five of them.
Common wrong answers
- If you answered 4
- 4 misses x = −2, which the ≥ allows.
- If you answered 6
- 6 counts x = 3, but x < 3 excludes it.
- If you answered 5.5
- The count of integers must be a whole number.
More Algebra questions
- Medium
A system: 2x + y = 11 and x − y = 1. What is the value of x + y? - Medium
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If y = 2x − 1 and 3x + y = 14, what is the value of x? - Medium
If |2x − 3| = 7, what is the sum of all possible values of x? - Medium
Line k has equation y = (2/3)x + 1. Which equation represents a line perpendicular to line k?
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