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write the system of linear inequalities that would produce the following graph
you in advance

The system of inequalities are

x - y < 1 and y < - 2

Step-by-step explanation:

The horizontal line shown in the graph has equation y = - 2 {As it is parallel to x-axis}

Now, this line is dotted and the lower portion of the graph is shaded.

So, the inequality will be y < - 2 ......... (1)

Again, another line is there in the graph which passes through the points (1,0) and (0,-1)

So, its equation will be

⇒ y + 1 = x

⇒ x - y = 1

Now, the origin (0,0) is within shaded zone of the inequality and putting x = 0 and y = 0, we get

0 - 0 < 1

So, the equation of the inequality is x - y < 1 {As the line is dotted}

Therefore, the system of inequalities are

x - y < 1 and y < - 2 (Answer)