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Re: Which of the following inequalities has a solution set that [#permalink]

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27 Jun 2012, 11:36

rpamecha wrote:

Which of the following inequalities has a solution set that, when graphed on a number line, is a single, finite line segment?

A. x>=4 B. x^2>=4 C. x^3>=64 D. |x|>=4 E. |x|<=4

The best way to solve this problem is to do so using number lines. a) Infinite b) |x|>=2 which means x>=2 and x<=-2. Infinitite in opposite directions. c) x>=4 Infinite d) x>=4 and x<=-1 Infinite in opposite directions e) x<=4 and x>=-4 which means -4<=x<=4. !!!

Re: Which of the following inequalities has a solution set that [#permalink]

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01 Jul 2013, 07:59

Which of the following inequalities has a solution set that, when graphed on a number line, is a single, finite line segment?

A. x>=4 B. x^2>=4 C. x^3>=64 D. |x|>=4 E. |x|<=4

Running through the list, it's pretty easy to rule out A, B, C

Let's try D |x|>=4

x≥4 OR -x≥4 ===> x≤-4 In other words, x may be greater than four (going from left to infinity on the number line) or it could be less than negative four (going from right to negative infinity on the number line) INCORRECT

|x|<=4 x≤4 -x≤4 ===> x≥-4

So: -4≤x≤4 In other words, x could be between -4 and 4 on the number line.

Re: Which of the following inequalities has a solution set that [#permalink]

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13 Aug 2014, 00:08

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Re: Which of the following inequalities has a solution set that [#permalink]

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04 Nov 2015, 01:17

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