y < 5 x + 6 For which of the following tables are all the values of x and their

Question

y &#60; 5 x + 6 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 A is correct. Substituting 3 for x in the given inequality yields y < 5 3 + 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 < 5 5 + 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 < 5 7 + 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.

$x$	$y$
$3$	$17$
$5$	$27$
$7$	$37$

$x$	$y$
$3$	$17$
$5$	$35$
$7$	$37$

$x$	$y$
$3$	$25$
$5$	$35$
$7$	$45$

$x$	$y$
$3$	$21$
$5$	$31$
$7$	$41$

Question 4761cf