Which of the following is the solution to the following system of inequalities? Let the green region represent the answer region.


Answer:
Option (A)
Step-by-step explanation:
There are two inequalities drawn on a graph.
x + 2y ≤ 4 ------(1)
3x - y ≤ 2 -------(2)
Here solution set of the inequality (1) will be represented by the shaded area below the solid line (in blue) represented by "x + 2y = 4".
(Line x + 2y = 4 will have the slope slanting down and y-intercept as 2)
Second inequality will represent the shaded area on the left of the solid red line represented by "3x - y ≤ 2".
(Line 3x - y = 2 will have the slope upwards and y-intercept as -2)
Solution area of these inequalities will be the common area shaded in green.
Graph given in Option (A) will be the answer.