BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.8, Problem 31E
To determine

To graph: The region provided by the set {(x,y)|x1 and y<3} .

Expert Solution

Explanation of Solution

Given information:

The set, {(x,y)|x1 and y<3} .

Graph:

The graph of the region provided by the set {(x,y)|x1 and y<3} is sketched in the coordinate plane.

Construct broken horizontal line y=3 and solid vertical line x=1 .

Shaded the region right of the line x=1 and below the line y=3 .

The region obtained is provided below,

  Precalculus: Mathematics for Calculus - 6th Edition, Chapter 1.8, Problem 31E

Interpretation:

The region provided by the set {(x,y)|x1 and y<3} is shaded region. The solid vertical line at x=1 denote that they are included in the region.The broken horizontal line at y=3 denotes that it is not included in the region. The region consists of all those points whose y-coordinate is less than 3 and x-coordinate is greater than or equal to 1. Therefore, shaded region is the region to the right of x=1 and below y=3 .

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