What area is the solution to the following systems of inequalities? a) y ≥ 2x - 1 2x + 3y < 6 [a] b) y ≤ 2x - 1 2x + 3y > 6 [b] c) y ≥ 2x - 1 2x + 3y > 6 [c] d) y ≤ 2x - 1 2x + 3y < 6 [d]
What area is the solution to the following systems of inequalities? a) y ≥ 2x - 1 2x + 3y < 6 [a] b) y ≤ 2x - 1 2x + 3y > 6 [b] c) y ≥ 2x - 1 2x + 3y > 6 [c] d) y ≤ 2x - 1 2x + 3y < 6 [d]
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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What area is the solution to the following systems of inequalities?
a) y ≥ 2x - 1
2x + 3y < 6 [a]
b) y ≤ 2x - 1
2x + 3y > 6 [b]
c) y ≥ 2x - 1
2x + 3y > 6 [c]
d) y ≤ 2x - 1
2x + 3y < 6 [d]

Transcribed Image Text:The diagram shows a coordinate plane divided into four quadrants by the x-axis and y-axis. The axes intersect at the origin (0,0).
- **Quadrants:**
- Quadrant 1 is the upper right section where both x and y coordinates are positive.
- Quadrant 2 is the upper left section where x is negative and y is positive.
- Quadrant 3 is the lower left section where both x and y coordinates are negative.
- Quadrant 4 is the lower right section where x is positive and y is negative.
- **Lines:**
- There is a solid red line crossing through Quadrants 2 and 4, indicating a line with a positive slope.
- A dashed red line crosses through Quadrants 1 and 3, indicating a line with a negative slope.
Both lines intersect at the origin (0,0). The grid helps visualize the position and slope of each line within the coordinate plane.
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