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

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.

step-by-step explanation:

107 units

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