Question

The shaded region is represented by the in equations ______ 

 

पर्याय

• x ≥ 0, y ≥ 0, 3x + 2y ≥ 12, x + 2y ≤ 8 

• x ≥ 0, y ≥ 0, 3x + 2y ≤ 12, x + 2y ≤ 8

• x ≥ 0, y ≥ 0, 3x + 2y ≥ 12, x + 2y ≥ 8

• x ≥ 0, y ≥ 0, 3x + 2y ≤ 12, x + 2y ≥ 8

Answer 1

The shaded region is represented by the in equations x ≥ 0, y ≥ 0, 3x + 2y ≤ 12, x + 2y ≤ 8.

Explanation:

Using two point form we have, equation of line AB : x + 2y = 8 and equation of line CD : 3x + 2y = 12

The shaded region lies on the origin side of both lines AB and CD, right side of Y-axis and above X-axis.

∴ x + 2y ≤ 8, 3x + 2y ≤ 12, x ≥ 0 and y ≥ 0