2x − y 883 For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?

Question

2x − y > 883 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, 440, 441, and 442, 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 440 for x in the given inequality yields 2(440) − y > 883, or 880 − y > 883. Subtracting 880 from both sides of this inequality yields −y > 3. Dividing both sides of this inequality by −1 yields y 883, or 882 − y > 883. Subtracting 882 from both sides of this inequality yields −y > 1. Dividing both sides of this inequality by −1 yields y 883, or 884 − y > 883. Subtracting 884 from both sides of this inequality yields −y > −1. Dividing both sides of this inequality by −1 yields y Choice A is incorrect. When x = 440, the corresponding value of y in this table is 0, which isn’t less than −3. Choice B is incorrect. When x = 440, the corresponding value of y in this table is 0, which isn’t less than −3. Choice C is incorrect. When x = 440, the corresponding value of y in this table is −2, which isn’t less than −3.

x	y
440	0
441	−2
442	−4

x	y
440	0
442	−2
441	−4

x	y
442	0
440	−2
441	−4

x	y
442	0
441	−2
440	−4

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