10 y 6600/5500 555555/444455 4400/30 33355/25 20/10 15/5 x ‒15 ‒10 ‒5 O 5 10 15 The shaded region shown in the graph represents all the solutions to which inequality? #
Correct answer: D (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice D is correct. The equation for the line representing the boundary of the = 0, shaded region can be written in the form y b, where ^ bh is the y-intercept of the line in the xy-plane. For the graph shown in the xy-plane, the boundary line -15,36 0,36 passes through the points ^ h and ^ h. Thus, the equation of the =36 boundary line is y . Since the shaded region represents all the points on and above this boundary line, it follows that the graph represents all the solutions to $36 the inequality y . Choice A is incorrect and may result from conceptual errors. Choice B is incorrect and may result from conceptual errors. Choice C is incorrect and may result from conceptual errors.
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