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Which system of inequalities is shown in the graph? ​

Which system of inequalities is shown in the graph? ​-example-1

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9 votes

Answer:

B.

Explanation:

The slope of the line is positive, eliminating choice A.

The shading is below both boundary lines, eliminating choices C and D.

Choice B correctly identifies the inequalities on the graph.

_____

The line has a slope = rise/run = 2/1 = 2. Its y-intercept is -2.

The quadratic has zeros (x-intercepts) at x=0 and x=3, so factors as x(x -3) and expands to x^2 -3x. When the shading is below the curve, the inequality will be of the form y ≤ ( ). That is, y-values in the solution set will be less than or equal to those on the curve.

User Itay Merchav
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