Explanation
Correct answer: D.
Choice D is correct. The line representing the boundary of the shaded region shown is a horizontal line; therefore, the equation of the line can be written as . Since the shaded region represents all of the points above this boundary line, it follows that the shaded region represents the solutions to the inequality . It's given that the shaded region shown represents the solutions to the inequality , where is a constant. The inequality can be rewritten in the form by multiplying both sides of the inequality by , which yields . Therefore, the value of is .
Desmos solution:
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B
Choice B is incorrect and may result from conceptual or calculation errors.
Choice C
Choice C is incorrect and may result from conceptual or calculation errors.
Student discussion
david_bd 0 likes
slider method ftw