Solve the rational inequality below. Provide the solution in interval notation. B A (-∞, JU(4, 7]U (10, ∞) x+3 C[/.4) U[7, 10) с X-4 29 (-∞,U (4, 10) U[23, ∞) D [4)U(10, 23) +42 3x+1 10-x

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Solve the rational inequality below. Provide the solution in interval notation.**

\[
\frac{x+3}{x-4} + 4 \geq \frac{3x+1}{10-x}
\]

**Options:**
- **A:** \((-∞, -\frac{9}{4}) \cup (4, 7) \cup (10, ∞)\)
- **B:** \((-∞, -\frac{29}{10}) \cup (4, 10) \cup [23, ∞)\)
- **C:** \([\frac{9}{4}, 4) \cup [7, 10)\)
- **D:** \([\frac{29}{10}, 4) \cup (10, 23]\)
Transcribed Image Text:**Solve the rational inequality below. Provide the solution in interval notation.** \[ \frac{x+3}{x-4} + 4 \geq \frac{3x+1}{10-x} \] **Options:** - **A:** \((-∞, -\frac{9}{4}) \cup (4, 7) \cup (10, ∞)\) - **B:** \((-∞, -\frac{29}{10}) \cup (4, 10) \cup [23, ∞)\) - **C:** \([\frac{9}{4}, 4) \cup [7, 10)\) - **D:** \([\frac{29}{10}, 4) \cup (10, 23]\)
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