Question

Hello can some one please answer this ASAP

Consider the system of linear inequalities:
y ≥ 3 − x
y ≤ − 3 − x
Which statement is true?
1: The system has no solutions.
2: The system has one solution.
3 : The system has an infinite amount of solutions.

Answer 1

The system has no solution.

Explanation:

See image. If you graph an inequality, half of the plane are solutions to each inequality. The two inequalities graphed together will show the solution of the system in the area where there is an overlap of the shading. See image. There is no overlap of the shading, so there is no solution.