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Write each inequality one at a time.
x≥-1 y <3
There are two major steps to writing an inequality when given its graph.
In this exercise, we have been given the graph of a system of two linear inequalities. We will tackle them one at a time and bring them together in a system at the end.
Let's take a look at the graph of the strict inequality.
x ? -1 We will need another point that lies within the solution set to determine the sign of this inequality.
Writing the inequality for this region of the graph will involve the same steps as above. We will start by identifying two points.
We can see that the boundary line is horizontal and passes through (0, 3). Therefore, the equation of the line is y= 3. To finish forming the inequality, we need to determine the inequality symbol. This means substituting the equals sign with a blank space, since it is still unknown to us. y ? 3 To figure out what the symbol should be, let's substitute any point that lies within the solution set into the equation.
To complete the system of inequalities, we will bring both of our inequalities together in system notation. x≥-1 y <3