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Identify the solution set of the system of inequalities below. Is the point (2,6) in the shaded region? How do you know?

Identify the solution set of the system of inequalities below. Is the point (2,6) in-example-1

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Here, we want to identify the solution set of the system of inequalities

These can be obtained by actually plotting the inequality

By plotting the inequality, we have the shaded part as the solution set

We have the plot as shown below;

The shaded part in dark blue represents the solution set

Now to check if the point (2,6) is in the shaded part, we have to substitute the values of the coordinates of the point into the inequalities. By substituting, we will discover that it lies as it is a solution

The reason why it lies is because it is only points which are are solutions to the inequality that are present in te shaded part

Identify the solution set of the system of inequalities below. Is the point (2,6) in-example-1
User Granny
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