s2x-1 (y z x243x-7

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Sketch the graph of the solution set of this system of inequalities
### Inequality System

The image displays a system of inequalities labeled as equation (ii). The system is as follows:

1. **Inequality 1**: \( y \leq 2x - 1 \)

2. **Inequality 2**: \( y \geq x^2 + 3x - 7 \)

These inequalities represent two regions on a coordinate plane:

- The first inequality (\( y \leq 2x - 1 \)) represents the area below or on the line \( y = 2x - 1 \).
- The second inequality (\( y \geq x^2 + 3x - 7 \)) represents the area above or on the parabola \( y = x^2 + 3x - 7 \).

To solve the system, find the region where these two areas overlap. This overlapping region is the solution to the inequality system.
Transcribed Image Text:### Inequality System The image displays a system of inequalities labeled as equation (ii). The system is as follows: 1. **Inequality 1**: \( y \leq 2x - 1 \) 2. **Inequality 2**: \( y \geq x^2 + 3x - 7 \) These inequalities represent two regions on a coordinate plane: - The first inequality (\( y \leq 2x - 1 \)) represents the area below or on the line \( y = 2x - 1 \). - The second inequality (\( y \geq x^2 + 3x - 7 \)) represents the area above or on the parabola \( y = x^2 + 3x - 7 \). To solve the system, find the region where these two areas overlap. This overlapping region is the solution to the inequality system.
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