Solve the following system of linear inequalities
Let us find the common region of all by plotting each inequality.
Given: 3x + 2y ≥ 24
Thus, for line,
3x + 2y = 24
x | 0 | 8 |
y | 12 | 0 |
Now, we know that (0,0) does not satisfy 3x + 2y ≥ 24
Thus, The region is away from the origin.
Now, 3x + y ≤ 15 … (given)
Thus, for line,
3x + y = 15
x | 0 | 5 |
y | 15 | 0 |
Now, here (0,0) satisfies 3x + y ≤ 15
Thus, the region is towards the origin.
Now, x ≥ 4 implies that the region is to the right of the line x = 4
Therefore, the above system has no common region as solution.