Question

HELP WITH ALGEBRA?! WILL FAN + MEDAL!!!


The quotient of an integer and -2 is between -2 and 4, exclusive. Find all valid integers.

The solution is all integers between ____ and ____.

Answer 1

I am going to take a shot in the dark and say -1 and 3

Answer 2

are you sure @kaidenk?

Answer 3

illhelp

Answer 4

thanks @champsionsaregreat :)

Answer 5

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Some of the materials used in this module are taken from disclosed editions of GMAT, and no monetaryvalue is included in the cost of this module for supply of these materials. These materials are strictly usedfor illustration of concepts discussed.Page 1
MODULE II
QUANTITATIVE ASSESSMENT
CONCEPTS REVIEW AND EXERCISES
MAT
Quantitative assessmentmeasures your quantitativereasoning skills and tests your ability tomake logical interpretation of information that is presented to you, or conceptually known to you. You willthen use the ‘logical interpretation’ tomake ‘logical decisions’. A ‘logicalinterpretation’ is one that considers allvalid explanations of agiven information.For example, if the information is that
Xis an integer
, then a logicalinterpretation of this statement will be
X could be any positive whole number, anynegative whole number, or Zero
.Similarly, if the information presented toyou is
|X| = 2
, then the logicalinterpretation of this information is that
X is either 2 or –2
. Likewise, if theinformation given to you reads that the‘
average of X, Y, and Z is 10
’, your ‘logical interpretation’ of this statementwill read: “
X, Y, and Z can be any valuethey could be as long as they ADD UP to 30
’.
MAKING LOGICAL DECISIONS USINGLOGICAL INTERPRETATION OFINFORMATION GIVEN TO YOU
The process of making ‘logical decisions’involves ‘testing for consistency acrossall logical interpretations of the giveninformation’. For example, if thequestion was:
If X
2
= 4, is X positive
?We will have to read this question asfollows: Given that X
2
= 4, can youdetermine with
logical certainty
that Xis greater than Zero? Our logicalinterpretation of the information X
2
= 4tells us that X is either 2 or –2. If X is 2,then it is positive; if it is –2, another value for X consistent with our logicalinterpretation of the ‘evidentiary’information, then X is NOT positive.Can you see that we have two likelyvalues for X consistent with our logicalinterpretation of the ‘evidentiarystatement’ (X
2
= 4) but there is no‘consistency’ with respect to the decisionwe can arrive at across the two different‘scenarios’? Obviously, we cannot makea ‘logical decision’ about whether X is positive or not on the basis of the‘evidence’ X
2
= 4.

On the GMAT, you will treat as‘evidence’ any ‘IF’ information that isgiven to you or any information that isknown to you as ‘concept’. You willthen be required to interpret this‘evidence’ in a logical fashion, and thenuse the logical interpretation to decidewhether or not any decision havinglogical consistency is feasible.
RULE
: If the logical interpretation of an ‘evidence’ presents more than one
valid
scenario, then neither scenario
alone
is a logical interpretation. For example, if the ‘evidence’ is ‘X times Yis positive’, our ‘logical interpretation’ of this statement presents two ‘valid’scenarios:
X and Y are both positive or X and Y are both negative. Neither X nor Y can be zero
. Notice that our ‘logical interpretation’gave rise to three valid scenarios aboutthe values for X and Y, and neither scenario alone is a logical interpretation.For example, if you made a ‘decision’ byusing the scenario that ‘X and Y are positive so that X times Y is positive’,then your ‘decision’ ist objekt a boo

Answer 6

what does this mean? @champsionsaregreat

Answer 7

i have no idea if I'm right or not