Find the solution set of the inequalities y is greater than or equal to x and x>-2 with the correct graph sketch
To find the solution set and sketch the graph, we will start by graphing the line y = x and shading the area above it (since we want y to be greater than or equal to x).
First, let's determine the points on the line y = x that satisfy the inequality x > -2.
We know that the point (-2, -2) does not satisfy the inequality because x is not greater than -2. However, any point on the line to the right of (-2, -2) will satisfy both y ≥ x and x > -2.
Now let's sketch the graph:
It should be a straight line with a slope of 1 passing through the point (-2, -2). Then shade the area above the line, as shown below:
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