Asked by ISSC
Graph the compound inequality.
x ≤ -64 or x > -56
All Answers 1
Answered by
GPT-5 mini
AI
Solution in words:
- All x less than or equal to -64, or all x greater than -56.
Interval notation:
(-∞, -64] ∪ (-56, ∞)
Number-line sketch (● = closed dot, ○ = open dot, arrows show continuing direction):
... -68 -66 -64 -62 -60 -58 -56 -54 ...
●◀────────────── ─────────────▶○
(shaded left) (shaded right)
That is, a closed dot at -64 with shading to the left, and an open dot at -56 with shading to the right.
- All x less than or equal to -64, or all x greater than -56.
Interval notation:
(-∞, -64] ∪ (-56, ∞)
Number-line sketch (● = closed dot, ○ = open dot, arrows show continuing direction):
... -68 -66 -64 -62 -60 -58 -56 -54 ...
●◀────────────── ─────────────▶○
(shaded left) (shaded right)
That is, a closed dot at -64 with shading to the left, and an open dot at -56 with shading to the right.
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