If a and b are constants such that a

Question

If a and b are constants such that a < b, is the graph of x on the number line a single segment of finite length?

1) a ≤  x^2  ≤ b
2) a ≤ 3x + 2 ≤ b

chetan2u · Answer

1) a ≤  x^2  ≤ b
graph of x^2 will be a parabola which can go up to infinite value either upwards or downwards OR can be limited within these two values
Insuff

2) a ≤ 3x + 2 ≤ b
 \frac{a-2}{3}≤ x ≤ \frac{b-2}{3} ..
This is a linear equation, and x has a limited value.
SUff

B

anbknaga · Answer

Where can I find basics of graphs and lines?

Bunuel · Answer

Check below:

24. Coordinate Geometry 
     Theory   
 Math: Coordinate Geometry 
 Beauty of Coordinate geometry 
 Dealing with Tangents on the GMAT 
     Questions   
 DS Questions 
 PS Questions

For other subjects:
 ALL YOU NEED FOR QUANT ! ! ! 
 Ultimate GMAT Quantitative Megathread

QuantMadeEasy · Answer

(1) a≤x^2≤b
a^1/2 ≤ |x| ≤ b^1/2

Let a=4 and b = 3, then
2≤|x| ≤ 3, Solution set for x is   and  . Insufficient

(2) This equation can be simplified as 
(a-2)/3 ≤ x ≤ (b-2)/3. This will give finite values for x as a<b. Sufficient

B is correct.

anbknaga · Answer

Thanks bunnel. Slope of the line questions are a real pain for me.

minustark · Answer

Really interesting question. May I know the source of this question? Thanks in advance.

bumpbot · Answer

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If a and b are constants such that a < b, is the graph of x on the

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