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Graph the system of inequalities x>3 y≤2x-5

1 Answer

6 votes

Answer:

The answer is the last attached picture.

Explanation:

First, graph the equation x=3, this is shown in the attached picture, is just a vertical line.

The region x>3 is shown in blue, is everything to the right of the equation x=3.

Next, lets graph the equation y=2x-5, this is shown in the attached picture:

as a leaned line colored in green, to graph this one use two points, the first is where x=0 (find y value), and the other where y=0 (find x value).

The region y<=2x-5 is below that graph, showed in blue.

Finally, intercepting those regions, we have the final picture, starting from x=3 and under the curve 2x-5 to infinity

Graph the system of inequalities x>3 y≤2x-5-example-1
Graph the system of inequalities x>3 y≤2x-5-example-2
Graph the system of inequalities x>3 y≤2x-5-example-3
Graph the system of inequalities x>3 y≤2x-5-example-4
Graph the system of inequalities x>3 y≤2x-5-example-5
User Sparkling Marcel
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