QUESTION IMAGE
Question
express the interval using two different representations.
0 ≤ x ≤ 7
answer attempt 2 out of 2
, , ) ( , ( , ) -∞ ∞ ∪ < > ≤ ≥ or
interval notation: (0,7)
number line:
(number line with -12 to 12, green circles at 0 and 7, green line between them)
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Step1: Convert to interval notation
Since $0 \leq x \leq 7$ includes both endpoints, we use square brackets for interval notation: $[0, 7]$
Step2: Adjust number line representation
For a closed interval including 0 and 7, we use filled (closed) circles at 0 and 7, with a solid line connecting them to show all values in between.
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Interval Notation: $[0, 7]$
Number Line: A number line with closed (filled) circles at 0 and 7, and a solid green line segment connecting the two circles.