How do I figure out the quadrant for this? The image presents a system of inequalities as follows:1. $ x + 3y \leq 18 $2. $ 2x + y \geq 14 $3. $ x \geq 0 $4. $ y \geq 0 $This set of inequalities represents a bounded region in the first quadrant of the Cartesian plane, which is often analyzed in linear programming for optimization problems. Each inequality defines a half-plane, and the intersection of these half-planes forms the solution set. The first two inequalities are linear constraints, while the last two constraints ensure non-negative values for $ x $ and $ y $.

Answered: x + 3y s 18 2x + yΣ 14 x Σ Ο Υ Σ Ο

Math

Calculus

x + 3y s 18 2x + yΣ 14 x Σ Ο Υ Σ Ο

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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Question

How do I figure out the quadrant for this?

The image presents a system of inequalities as follows:

1. $ x + 3y \leq 18 $
2. $ 2x + y \geq 14 $
3. $ x \geq 0 $
4. $ y \geq 0 $

This set of inequalities represents a bounded region in the first quadrant of the Cartesian plane, which is often analyzed in linear programming for optimization problems. Each inequality defines a half-plane, and the intersection of these half-planes forms the solution set. The first two inequalities are linear constraints, while the last two constraints ensure non-negative values for $ x $ and $ y $.

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