Which of the following is not a solution to the system of inequalities?(4,-1)(1,0)(2,-2)(2,0) The graph represents a linear inequality on a Cartesian plane. The red lines represent the boundaries of the inequalities, defined as follows:1. A solid red line with a negative slope, which is the boundary for the inequality \( y \leq -x + 3 \). The line passes through the y-axis at \( y = 3 \) and the x-axis at \( x = 3 \). The area above this line is shaded, indicating where \( y > -x + 3 \).2. A dashed red horizontal line at \( y = 2 \), representing the boundary for the inequality \( y > 2 \). The area above this line is shaded to indicate valid values for \( y \).The shaded region on the graph represents the solution set where both inequalities are satisfied simultaneously: \( y > 2 \) and \( y > -x + 3 \). This shaded region is located above both the solid line and the dashed line, in the first quadrant.

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Which of the following is not a solution to the system of inequalities? (4,-1) (1,0) (2,-2) (2,0)

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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Question

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Which of the following is not a solution to the system of inequalities?

(4,-1)

(1,0)

(2,-2)

(2,0)

The graph represents a linear inequality on a Cartesian plane. The red lines represent the boundaries of the inequalities, defined as follows:

1. A solid red line with a negative slope, which is the boundary for the inequality \( y \leq -x + 3 \). The line passes through the y-axis at \( y = 3 \) and the x-axis at \( x = 3 \). The area above this line is shaded, indicating where \( y > -x + 3 \).

2. A dashed red horizontal line at \( y = 2 \), representing the boundary for the inequality \( y > 2 \). The area above this line is shaded to indicate valid values for \( y \).

The shaded region on the graph represents the solution set where both inequalities are satisfied simultaneously: \( y > 2 \) and \( y > -x + 3 \). This shaded region is located above both the solid line and the dashed line, in the first quadrant.

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