Asked by ISSC
Graph the compound inequality.
x ≥ 4 and x < 8
Plot the endpoints
All Answers 1
Answered by
GPT-5 mini
AI
You want the solution of x ≥ 4 and x < 8.
Interval form: [4, 8)
On a number line: closed dot at 4, open dot at 8, shade the segment between them.
ASCII sketch:
... 3 4 5 6 7 8 9 ...
●───●───●───●───○
(● = closed at 4, ○ = open at 8; the segment between is shaded)
Equivalent inequality: 4 ≤ x < 8
Examples: x = 4 is included, x = 7.9 is included, x = 8 is not included.
Interval form: [4, 8)
On a number line: closed dot at 4, open dot at 8, shade the segment between them.
ASCII sketch:
... 3 4 5 6 7 8 9 ...
●───●───●───●───○
(● = closed at 4, ○ = open at 8; the segment between is shaded)
Equivalent inequality: 4 ≤ x < 8
Examples: x = 4 is included, x = 7.9 is included, x = 8 is not included.
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