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If 5 < x < 10 and y = x + 5, what is the greatest possible i
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28 Mar 2019, 13:18
28 Mar 2019, 13:18
Expert Reply
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Question Stats:
36% (00:45) correct
63% (00:48) wrong based on 47 sessions
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If \(5 < x < 10\) and \(y = x + 5\), what is the greatest possible integer value of x + y ?
(A) 18
(B) 20
(C) 23
(D) 24
(E) 25
(A) 18
(B) 20
(C) 23
(D) 24
(E) 25
Re: If 5 < x < 10 and y = x + 5, what is the greatest possible i
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30 Mar 2019, 11:37
30 Mar 2019, 11:37
3
Expert Reply
This one's tricky. It's tempting to think that because x + y must be an integer value, then x and y must be integers.
But that's not the case! It could be that x = 9.5, making y = 14.5. In this case, 9.5 + 14.5 = 24. And that's our largest possible integer value. If x were any larger than 9.5, like 9.9, then y would also end in .9, and their sum wouldn't be an integer.
But that's not the case! It could be that x = 9.5, making y = 14.5. In this case, 9.5 + 14.5 = 24. And that's our largest possible integer value. If x were any larger than 9.5, like 9.9, then y would also end in .9, and their sum wouldn't be an integer.
Re: If 5 < x < 10 and y = x + 5, what is the greatest possible i
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24 Jul 2025, 01:08
24 Jul 2025, 01:08
1
y = x + 5
x + y = 2x + 5
5 < x < 10
10 < 2x < 20
15 < 2x + 5 < 25
15 < x + y < 25
greatest possible value of x + y is 24
x + y = 2x + 5
5 < x < 10
10 < 2x < 20
15 < 2x + 5 < 25
15 < x + y < 25
greatest possible value of x + y is 24
