Graph the boundary lines of the feasible region defined by the following inequalities. Then sketch the feasible region. 9x + 4y ≤ 36 6x + 5y ≤ 30 x + 3y ≤ 12 x ≥ 0, y ≥ 0
Graph the boundary lines of the feasible region defined by the following inequalities. Then sketch the feasible region. 9x + 4y ≤ 36 6x + 5y ≤ 30 x + 3y ≤ 12 x ≥ 0, y ≥ 0
Chapter7: Systems Of Equations And Inequalities
Section7.3: Systems Of Nonlinear Equations And Inequalities: Two Variables
Problem 3SE: When you graph a system of inequalities, will there always be a feasible region? If so, explain why....
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Question
Graph the boundary lines of the feasible region defined by the following inequalities. Then sketch the feasible region.
| 9x | + | 4y | ≤ | 36 |
| 6x | + | 5y | ≤ | 30 |
| x | + | 3y | ≤ | 12 |
| x | ≥ | 0, y | ≥ | 0 |
Expert Solution
Step 1
Introduction:
The feasible region of a system of inequalities is the area of the graph showing all the possible points that satisfy all inequalities.
Given: System of inequalities.
| 9x | + | 4y | ≤ | 36 |
| 6x | + | 5y | ≤ | 30 |
| x | + | 3y | ≤ | 12 |
| x | ≥ | 0, y | ≥ | 0 |
To find: Feasible region of set of inequalities.
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