Question

Which graph shows the solution to the following system of linear inequalities?

−3x − 3y < −3
y ≤ −x + 1

Answer 1

its D

Explanation:

top is correct

Answer 2

The fourth graph will be the solution.

Explanation:

The system of linear inequalities are

- 3x - 3y < - 3, ⇒ x + y > 1

And y ≤ -x + 1, ⇒ x + y ≤ 1

There is no solution for those two inequalities because there are no values of x and y that can satisfy both the equations.

Now, the fourth graph will be the solution as there is no shaded region for the solution in the graph and also the line x + y = 1 is plotted as a dotted line that means the solution does not include the line also. (Answer)