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Convert to Interval Notation Calculator

A. (−[infinity],[infinity])
B. (0,[infinity])
C. (−40,7)
D. (−7,40)

1 Answer

5 votes

Final answer:

The correct interval notation that represents "Convert to Interval Notation Calculator" for the given options is C. (-40, 7).

Explanation:

The interval notation C, (-40, 7), represents the range of values that fall between -40 and 7, excluding the endpoints. In interval notation, the parentheses indicate that the endpoints (-40 and 7) are not included in the set. To understand this representation better, imagine a number line where -40 and 7 are marked with open circles, indicating that these values are not part of the interval. Any number between -40 and 7 falls within this range.

To verify this, let's consider the interval (-40, 7) in a numerical context. This notation implies all real numbers greater than -40 but less than 7. So, any value larger than -40 and smaller than 7 satisfies this condition. For instance, -39 is greater than -40 but less than 7, making it a valid value within this interval. However, -40 itself is not included due to the parentheses indicating exclusivity. Similarly, 7 is also excluded from the interval.

Therefore, the interval notation C, (-40, 7), accurately represents the range of values between -40 and 7, excluding the endpoints, and provides a clear understanding of the set of numbers within this interval.

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