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How is [17, [infinity]] an incorrect answer to x ≥ 17?

A. It includes all values greater than or equal to 17.
B. It does not include 17 in the range.
C. It only includes even numbers.
D. It is not an interval.

1 Answer

2 votes

Final answer:

The notation [17, [infinity]] is incorrect for the inequality x ≥ 17 because it suggests a set within an interval rather than a continuous range of numbers including 17. The correct interval notation is [17, infinity). The error is that the notation does not include 17 in the range.

Step-by-step explanation:

The correct representation for the mathematical inequality x ≥ 17 should include all values that are greater than or equal to 17. The notation [17, [infinity]] is incorrect because it appears to denote an interval that includes a set within an interval, which is not standard notation in mathematics. The correct interval notation for this inequality would be [17, infinity). It is crucial that the notation correctly represents that 17 is included in the range, which is signified by the use of a square bracket. Option B identifies the error correctly: It does not include 17 in the range.

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