Solve the inequality 32 3-2X>7. 5

Calculus: Early Transcendentals
8th Edition
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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**Problem: Solving a Compound Inequality**

Solve the inequality: 

\[ 3 \geq \frac{3 - 2x}{5} > 7. \]

**Explanation:**

This is a compound inequality involving a fraction. The inequality needs to be split into two separate inequalities:

1. \( 3 \geq \frac{3 - 2x}{5} \)
2. \( \frac{3 - 2x}{5} > 7 \)

Each of these inequalities must be solved separately to find the solution for \( x \).
Transcribed Image Text:**Problem: Solving a Compound Inequality** Solve the inequality: \[ 3 \geq \frac{3 - 2x}{5} > 7. \] **Explanation:** This is a compound inequality involving a fraction. The inequality needs to be split into two separate inequalities: 1. \( 3 \geq \frac{3 - 2x}{5} \) 2. \( \frac{3 - 2x}{5} > 7 \) Each of these inequalities must be solved separately to find the solution for \( x \).
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