A student wrote the inequality y 4x - 17. Her friend solved the inequality and said that (12, 31) is one...

Question

A student wrote the inequality y > 4x - 17. Her friend solved the inequality and said that (12, 31) is one of the possible solutions of this inequality. Is her friend correct?
A. Yes, because 12 is less than 4 ⋅ 31 − 17.
B. No, because 12 is less than 4 ⋅ 31 − 17.
C. Yes, because 31 is equal to 4 ⋅ 12 − 17.
D. No, because 31 is equal to 4 ⋅ 12 − 17.

SnapAndSolve AI · Accepted Answer

To determine if (12, 31) is a solution to the inequality y > 4x - 17, substitute x = 12 and y = 31 into the inequality:

31 > 4(12) - 17

31 > 48 - 17

31 > 31

This is false because 31 is not greater than 31. Therefore, (12, 31) is not a solution to the inequality.

A. Yes, because 12 is less than 4 ⋅ 31 − 17. Incorrect. This statement is irrelevant to the inequality given.
B. No, because 12 is less than 4 ⋅ 31 − 17. Incorrect. This statement is irrelevant to the inequality given.
C. Yes, because 31 is equal to 4 ⋅ 12 − 17. Incorrect. The inequality requires y to be greater, not equal.
D. No, because 31 is equal to 4 ⋅ 12 − 17. Correct. The inequality is not satisfied because 31 is not greater than 31.

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A student wrote the inequality y > 4x - 17. Her friend solved the inequality and said that (12, 31) is one...

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