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How many of the integers that satisfy the inequality
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14 May 2020, 09:47
14 May 2020, 09:47
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45% (01:30) correct
54% (01:40) wrong based on 87 sessions
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How many of the integers that satisfy the inequality \(\frac{(x+2)(x+3)}{(x-2)} \geq 0\) are less than 5?
A. 1
B. 2
C. 3
D. 4
E. 5
A. 1
B. 2
C. 3
D. 4
E. 5
Re: How many of the integers that satisfy the inequality
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14 May 2020, 09:47
14 May 2020, 09:47
Expert Reply
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Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Re: How many of the integers that satisfy the inequality
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14 May 2020, 12:42
14 May 2020, 12:42
4
to satisfy inequality, (x+2)(x+3)/(x-2) is either zero or positive
In order to make it zero, there are only two possible values: -2 and -3 (makes numerator zero and the whole function will be zero)
In order to make it positive, any positive value >2 will make the function positive. as per que values needed less than 5, hence 3 and 4 are possible values here.
In total -2, -3, 3 and 4 are four possible solutions.
In order to make it zero, there are only two possible values: -2 and -3 (makes numerator zero and the whole function will be zero)
In order to make it positive, any positive value >2 will make the function positive. as per que values needed less than 5, hence 3 and 4 are possible values here.
In total -2, -3, 3 and 4 are four possible solutions.
