If x is an integer, what is the value of x?

Question

(1) –2(x + 5) < -1
(2) – 3x > 9

fluke · Accepted Answer

(1) -2(x+5)<-1 2(x+5)>1 2x+10>1 2x>-9 x>-4.5 -4.59 3x<-9 x<-3 Not Sufficient. Combining both; -4.5

chetan2u · Answer

Hi.. Both the statement individually give value of x in INEQUALITy, so insufficient let's see combined (1) –2(x + 5) < –1........2(x+5)>1......x+5>\frac{1}{2}......x>\frac{-9}{2} , so -4,-3,-2,.... (2) –3x > 9.......3x<-9.......x<-3 , so -4,-5,-6.... ONLY common value is -4 suff C

Gmat2Cracker · Answer

1) from 1- x> -9/2 not suff 2) from 2 - x< -3 not suff from 1 and 2 combined -4.5x= -4 Sufficient (C)

bowser123 · Answer

You know X is an I, you are looking for value of X. So that can range from negative, 0, positive integers.

Statement 1:
-2(X+5)<-1
-2X-10<-1
-2X<9
X>-4.5 (flip the inequality if divide or multiply by a negative).

Well statement 1 means that it could be -4, -3, 0, 1, 2 etc... so A and D are not correct.

Statement 2:
-3X>9
X<-3 (again flip the inequality if divide or multiply by a negative).

Well this means that X can be -4, -5, -6, etc... so B is not correct.

Combining the two statements you get the following inequality
-4.5<X<-3 and since X needs to be an integer you know that X=-4 so C is correct.

BrentGMATPrepNow · Answer

Target question : What is the value of x? Statement 1 : –2(x + 5) < -1 Expand the left side: –2x - 10 < -1 Add 10 to both sides: –2x < 9 Divide both sides by -2 to get: x > -4.5 negative value, I had to reverse the direction of the inequality symbol] Since x is an INTEGER, x could equal -4, -3, -2, -1 . . . . Since we can’t answer the target question with certainty, statement 1 is NOT SUFFICIENT Statement 2 : –3x > 9 Divide both sides of the equation by -3 to get: x < -3 Since x is an INTEGER, x could equal -4, -5, -6, -7 . . . . Since we can’t answer the target question with certainty, statement 2 is NOT SUFFICIENT Statements 1 and 2 combined Statement 1 tells us that x > -4.5 Statement 2 tells us that x < -3 Combine the two inequalities to get: -4.5 < x < -3 Since x is an INTEGER, x MUST equal -4 The combined statements are SUFFICIENT Answer: C

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If x is an integer, what is the value of x?

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