2024 UPDATED!!! Which graph best represents the feasibility region for the system shown above? ( pics are in this)

THIS USER ASKED 👇

Which graph best represents the feasibility region for the system shown above? ( pics are in this)

THIS IS THE BEST ANSWER 👇

Think about the system of inequalities

$left { begin {array} {l} y ge 2 \ x le 6 \ y le 3x + 2 \ y le -x + 10. end {array} correct.$

1. Plot all lines determined by equality (see attached diagram)

$left { begin {array} {l} y = 2 text {(red line)} \ x = 6 text {(blue line)} \ y = 3x + 2 text {(green line) } \ y = -x + 10 text {(orange line)}. end {array} correct.$

2. Find out which part of the limited aircraft you should choose:

y ge 2 means that you should construct points with y coordinates greater than or equal to 2 (the upper part of the coordinate plane formed by the red line); x le 6 means that you should construct points with x – coordinates less than or equal to 6 (the left part of the coordinate plane formed by the blue line); y le 3x + 2 you can check where the foundation is placed. Oh 0 le 3 cdot 0 + 2 , the foundation belongs to the essential part and you have to build the right part of the coordinate plane formed by a green line. for y le -x + 10 you can check where the foundation is placed. Oh 0 le -1 cdot 0 + 10 , the base belongs to the essential part and you have to build the bottom part of the coordinate plane formed with an orange line.