What's the system of linear equations by the solution graphed below

The system of linear equation that is graphed is:

  Option: A

         A.   y > -1 and   y ≤ -x

Is a strict inequality (since the graph is a dotted line which passes through (0,-1) and is a horizontal line parallel to the x-axis )

Also, the shaded region is above the line i.e. towards the origin.

This means that the line passes the zero point test.

Hence, the inequality which satisfies this condition is:

                                 y > -1

Is a solid line (i.e. the inequality is not strict) and the line satisfies the relation y= -x and the shaded region lie below the line i.e. the inequality is given by:

                                       y ≤ -x

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step-by-step explanation: