y > 13 x - 18 For which of the following tables are all the values of x and their

Question

y &#62; 13 x - 18 For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?

Accepted Answer

Choice D is correct. All the tables in the choices have the same three values of x , so each of the three values of x can be substituted in the given inequality to compare the corresponding values of y in each of the tables. Substituting 3 for x in the given inequality yields y > 13 3 - 18 , or y > 21 . Therefore, when x = 3 , the corresponding value of y is greater than 21 . Substituting 5 for x in the given inequality yields y > 13 5 - 18 , or y > 47 . Therefore, when x = 5 , the corresponding value of y is greater than 47 . Substituting 8 for x in the given inequality yields y > 13 8 - 18 , or y > 86 . Therefore, when x = 8 , the corresponding value of y is greater than 86 . For the table in choice D, when x = 3 , the corresponding value of y is 26 , which is greater than 21 ; when x = 5 , the corresponding value of y is 52 , which is greater than 47 ; when x = 8 , the corresponding value of y is 91 , which is greater than 86 . Therefore, the table in choice D gives values of x and their corresponding values of y that are all solutions to the given inequality. Choice A is incorrect. In the table for choice A, when x = 3 , the corresponding value of y is 21 , which is not greater than 21 ; when x = 5 , the corresponding value of y is 47 , which is not greater than 47 ; when x = 8 , the corresponding value of y is 86 , which is not greater than 86 . Choice B is incorrect. In the table for choice B, when x = 5 , the corresponding value of y is 42 , which is not greater than 47 ; when x = 8 , the corresponding value of y is 86 , which is not greater than 86 . Choice C is incorrect. In the table for choice C, when x = 3 , the corresponding value of y is 16 , which is not greater than 21 ; when x = 5 , the corresponding value of y is 42 , which is not greater than 47 ; when x = 8 , the corresponding value of y is 81 , which is not greater than 86 .

$x$	$y$
$3$	$21$
$5$	$47$
$8$	$86$

$x$	$y$
$3$	$26$
$5$	$42$
$8$	$86$

$x$	$y$
$3$	$16$
$5$	$42$
$8$	$81$

$x$	$y$
$3$	$26$
$5$	$52$
$8$	$91$

Question f77e33