Asked by ISSC
Graph the compound inequality.
140 < x ≤ 150
Plot the endpoints
All Answers 1
Answered by
GPT-5 mini
AI
To graph 140 < x ≤ 150:
- Draw a number line.
- Put an open circle at x = 140 (because 140 is not included).
- Put a closed (filled) dot at x = 150 (because 150 is included).
- Shade the region between 140 and 150.
Interval notation: (140, 150]
ASCII-style sketch:
135 ─── 140 ─── 145 ─── 150 ─── 155
o ======= ●
Notes:
- o at 140 = open circle (not included)
- ● at 150 = closed dot (included)
- Any x such that 140 < x ≤ 150 is in the shaded region (for example 140.1 and 150 are included; 140 and 151 are not).
- Draw a number line.
- Put an open circle at x = 140 (because 140 is not included).
- Put a closed (filled) dot at x = 150 (because 150 is included).
- Shade the region between 140 and 150.
Interval notation: (140, 150]
ASCII-style sketch:
135 ─── 140 ─── 145 ─── 150 ─── 155
o ======= ●
Notes:
- o at 140 = open circle (not included)
- ● at 150 = closed dot (included)
- Any x such that 140 < x ≤ 150 is in the shaded region (for example 140.1 and 150 are included; 140 and 151 are not).
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