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35

Step-by-step Answer
PAGE: 105SET: ExercisesPROBLEM: 35
Please look in your text book for this problem Statement

The inequality is .

The graph of the inequality is the shaded region, so every point in the shaded region satisfies the inequality.

The graph of the equation is the boundary of the region. Since the inequality , the boundary is drawn as a solid line to show that points on the line does satisfy the inequality and the shaded region above the graph of .

To graph the boundary line, find ordered pairs that satisfy the equation.

For every value of x, the value of y is 3. The graph of the equation is a horizontal line 3 units up the x - axis.

To draw inequality follow the steps.

1.  Draw a coordinate plane.

2.  Plot the points and draw a line through these points.

3.  To determine which half-plane to be shaded use a test point in either half-plane. A simple choice is .

Substitute the value of in the original inequality.

.

4.  Since the above statement is false, shade the region that does not contain point .

Linear inequality graph y>=3

The inequality graph is

Linear inequality graph y>=3



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