Question y-60-5

5.1 Linear Inequalities in One or Two Variables - Graphing two-variable inequalities
0:00

y<5x+6

For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?

A.
x y
3 17
5 27
7 37
B.
x y
3 17
5 35
7 37
C.
x y
3 25
5 35
7 45
D.
x y
3 21
5 31
7 41

y &#60; 5 x + 6 For which of the following tables are all the values

Hard-difficulty · SAT Math · Linear Inequalities in One or Two Variables — Graphing two-variable inequalities. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice A is correct. Substituting 3 for x in the given inequality yields y<53+6, or y<21. Therefore, when x = 3 , the corresponding value of y is less than 21 . Substituting 5 for x in the given inequality yields y<55+6, or y<31. Therefore, when x = 5 , the corresponding value of y is less than 31 . Substituting 7 for x in the given inequality yields y<57+6, or y<41. Therefore, when x = 7 , the corresponding value of y is less than 41 . For the table in choice A, when x = 3 , the corresponding value of y is 17 , which is less than 21 ; when x = 5 , the corresponding value of y is 27 , which is less than 31 ; and when x = 7 , the corresponding value of y is 37 , which is less than 41 . 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.