y < 5x+6 For which of the following tables are all the values of xand their corresponding values of ysolutions to the given inequality?
Correct answer: A (parsed from the explanation — this source omits an answer key for this item)
Explanation
<5 3 +6 Choice A is correct. Substituting 3 for x in the given inequality yields y ^ h , <21 = 21 or y . Therefore, when x 3, the corresponding value of y is less than . <5 5 +6 <31 Substituting 5 for x in the given inequality yields y ^ h , or y . Therefore, = 31 when x 5, the corresponding value of y is less than . Substituting 7 for x in 36 SAT PRACTICE TEST #10 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 1 <5 7 +6 <41 = the given inequality yields y ^ h , or y . Therefore, when x 7, the 41 = corresponding value of y is less than . For the table in choice A, when x 3, 17 21 = the corresponding value of y is , which is less than ; when x 5, the 27 31 = corresponding value of y is , which is less than ; and when x 7, the 37 41 corresponding value of y is , which is less than . Therefore, the table in choice A gives values of x and their corresponding values of y that are all solutions to the given inequality. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.
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