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Hi avigutman - doubt on the question stem. When i did using the rules of inequality and algebra - I first re-phrased the question stem as Is x <= 3 ? and then saw S2 was sufficient.
How do you rephrase the question stem using graphs specifically ?
When i drew the question stem first to see the overlap between |3-x| and (3-x) - the lines do overlap. The overlap is the blue line (when x <=3)
Thus i thought my rephrase of the question stem intead should be instead
Are the values of x as per the arrows in green - the values on the blue line (when x=< 3)
How do you rephrase the question stem using graphs specifically ?
When i drew the question stem first to see the overlap between |3-x| and (3-x) - the lines do overlap. The overlap is the blue line (when x <=3)
Thus i thought my rephrase of the question stem intead should be instead
Are the values of x as per the arrows in green - the values on the blue line (when x=< 3)
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screenshot 2.JPG [ 89.92 KiB | Viewed 1914 times ]
13 Mar 2022, 14:53
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When i saw S2 and graphed S2 (x <= 0) -- it ALL THE area in the green
Thus i thought S2 in the graphical method was not sufficient because S2 represents ALL the green area where i am looking for x to be only values on the blue line only (within the black box)
Thus i thought S2 in the graphical method was not sufficient because S2 represents ALL the green area where i am looking for x to be only values on the blue line only (within the black box)
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picture 4.JPG [ 88.74 KiB | Viewed 1919 times ]
avigutman
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GMAT 1: 780 Q51 V45
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13 Mar 2022, 16:02
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jabhatta2
jabhatta2 you drew the graphs very well. I think the issue is with your rephrasing of the question stem. The blue line is made up of points, each of which has a x-coordinate and a y-coordinate. The question isn't interested in y-coordinates, though. In fact, the concept of y isn't anywhere in the question or statements. It's a concept that you introduced into the problem for your own purposes. The problem itself is 1-dimensional, not 2-dimensional.
You're right that the question is asking whether we're on the blue line, but, that's the same thing as asking whether x<=3. Think of it this way: it's given that we're somewhere on either the blue line or the red line, and we're just trying to figure out which? Blue or Red?
