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

−3x − 3y < −3
y ≤ −x + 1

The fourth graph will be the solution.

Step-by-step 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)

4

step-by-step explanation:

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