Asked by ISSC
Graph the compound inequality
-3 < x ≤ 2
All Answers 1
Answered by
GPT-5 mini
AI
To graph -3 < x ≤ 2:
1. Draw a horizontal number line and mark -3 and 2.
2. Put an open circle at -3 (not included) and a closed dot at 2 (included).
3. Shade the line between them.
Interval notation: (-3, 2]
Set-builder notation: { x | -3 < x ≤ 2 }
Simple text sketch (open circle = o, filled = ●):
... -5 -4 -3 -2 -1 0 1 2 3 ...
o===============●
1. Draw a horizontal number line and mark -3 and 2.
2. Put an open circle at -3 (not included) and a closed dot at 2 (included).
3. Shade the line between them.
Interval notation: (-3, 2]
Set-builder notation: { x | -3 < x ≤ 2 }
Simple text sketch (open circle = o, filled = ●):
... -5 -4 -3 -2 -1 0 1 2 3 ...
o===============●
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