Sketch the region that corresponds to the given inequalities. 3x y ≤ 3 x + 2y ≤ 8 O -10 -5 (x, y) = Solution Set y 10+ -10 10 10 Say whether the region is bounded or unbounded. O The region is bounded. O The region is unbounded. Find the coordinates of all corner points (if any). (If an answer does not exist, enter DNE.) Solution Set -10 y 10 Solution Set -5 -10 -10 -5 y 10 Solution. Set 5 n
Sketch the region that corresponds to the given inequalities. 3x y ≤ 3 x + 2y ≤ 8 O -10 -5 (x, y) = Solution Set y 10+ -10 10 10 Say whether the region is bounded or unbounded. O The region is bounded. O The region is unbounded. Find the coordinates of all corner points (if any). (If an answer does not exist, enter DNE.) Solution Set -10 y 10 Solution Set -5 -10 -10 -5 y 10 Solution. Set 5 n
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter5: Linear Inequalities
Section: Chapter Questions
Problem 2SGR
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Question
Sketch the region that corresponds to the given inequalities.
3x | − | y | ≤ | 3 |
x | + | 2y | ≤ | 8 |
The x y-coordinate plane is given. There are 2 lines and a region labeled "solution set" on the graph.
- The first line enters the window in the third quadrant, goes up and right, passes through the point (−1, −6), crosses the y-axis at y = −3, crosses the x-axis at x = 1, passes through the point (2, 3) crossing the second line, and exits the window in the first quadrant.
- The second line enters the window in the second quadrant, goes down and right, passes through the point (−1, 4.5), crosses the y-axis at y = 4, passes through the point (1, 3.5), passes through the point (2, 3) crossing the first line, crosses the x-axis at x = 8, and exits the window in the fourth quadrant.
- The solution set is above the first line and below the second line.
- The regions outside the solution set are shaded.
The x y-coordinate plane is given. There are 2 lines and a region labeled "solution set" on the graph.
- The first line enters the window in the third quadrant, goes up and right, passes through the point (−1, −6), crosses the y-axis at y = −3, crosses the x-axis at x = 1, passes through the point (2, 3) crossing the second line, and exits the window in the first quadrant.
- The second line enters the window in the second quadrant, goes down and right, passes through the point (−1, 4.5), crosses the y-axis at y = 4, passes through the point (1, 3.5), passes through the point (2, 3) crossing the first line, crosses the x-axis at x = 8, and exits the window in the fourth quadrant.
- The solution set is below the first line and below the second line.
- The regions outside the solution set are shaded.
The x y-coordinate plane is given. There are 2 lines and a region labeled "solution set" on the graph.
- The first line enters the window in the third quadrant, goes up and right, passes through the point (−1, −6), crosses the y-axis at y = −3, crosses the x-axis at x = 1, passes through the point (2, 3) crossing the second line, and exits the window in the first quadrant.
- The second line enters the window in the second quadrant, goes down and right, passes through the point (−1, 4.5), crosses the y-axis at y = 4, passes through the point (1, 3.5), passes through the point (2, 3) crossing the first line, crosses the x-axis at x = 8, and exits the window in the fourth quadrant.
- The solution set is above the first line and above the second line.
- The regions outside the solution set are shaded.
The x y-coordinate plane is given. There are 2 lines and a region labeled "solution set" on the graph.
- The first line enters the window in the third quadrant, goes up and right, passes through the point (−1, −6), crosses the y-axis at y = −3, crosses the x-axis at x = 1, passes through the point (2, 3) crossing the second line, and exits the window in the first quadrant.
- The second line enters the window in the second quadrant, goes down and right, passes through the point (−1, 4.5), crosses the y-axis at y = 4, passes through the point (1, 3.5), passes through the point (2, 3) crossing the first line, crosses the x-axis at x = 8, and exits the window in the fourth quadrant.
- The solution set is below the first line and above the second line.
- The regions outside the solution set are shaded.
Say whether the region is bounded or unbounded.
The region is bounded.The region is unbounded.
Find the coordinates of all corner points (if any). (If an answer does not exist, enter DNE.)
(x, y) =
(ATTACHED IS THE IMAGE AND ANSWER ALL)
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