y > 4x + 8For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?
Correct answer: A. A
- A. A
- B. B
- C. C
- D. D
Explanation
Choice A is correct. In each choice, the values of x are 2, 4, and 6. Substituting the first value of x, 2, for x in the given inequality yields y > 4(2) + 8, or y > 16. Therefore, when x=2, the corresponding value of y must be greater than 16. Of the given choices, only choice A is a table where the value of y corresponding to x=2 is greater than 16. To confirm that the other values of x in this table and their corresponding values of y are also solutions to the given inequality, the values of x and y in the table can be substituted for x and y in the given inequality. Substituting 4 for x and 30 for y in the given inequality yields 30 > 4(4) + 8, or 30 > 24. which is true. Substituting 6 for x and 41 for y in the given inequality yields 41 > 4(6) + 8, or 41 > 32. , which is true. It follows that for choice A, all the values of x and their corresponding values of y are solutions to the given inequality.
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