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)
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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]

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.
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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