Which system of inequalities is shown in the graph?
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Answer:
B.
Step-by-step 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.
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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.