If -2

Question

If -2< x<3 , which of the following CANNOT be true? (A) 3x<-3 (B) 2x+2<4 (C) 3x<8 (D) 3x>-3 (E) -3x>8

Abhishek009 · Accepted Answer

Draw the inequality in a number line number-line-outputter.gif Now check the options... (A) x < -1 (B) x < 1 (C) x < 8/3 (D) x > -1 (E) x >< -8/3 Or, x < -2.67 Check carefullly only (E) falls outside the given range of the number line...

Saiharish98 · Answer

In my view option C and E are same and all of the options can be true. Pls check

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SvelteNigerian · Answer

Hello,

-2<x does this include -2?

Seems it means x is greater than -2 and doesn't say equal to -2, i'd expect that the number line doesn't include -2.

Kindly clarify.

ScottTargetTestPrep · Answer

Since x is greater than -2, there is no way for -3x to be greater than 8.

Answer: E

TestPrepUnlimited · Answer

We need to find an answer that is completely out of the range of  -2 < x < 3 .

(A)  x < -1 , we could have x = -1.5 so this might be true.
(B)  x < 1 . We could have x = 0 so this might be true.
(C) This range incorporates part of -2 < x < 3.
(D) This range incorporates part of -2 < x < 3.
(E) x < -8/3 , this is completely out of range so this is our answer. (Note we flip signs since we moved over -3)

Ans: E

TestPrepUnlimited · Answer

Hi  OmotayoH  , we would write  x ≥ -2  if we want to include -2.  x > -2  would not include -2.

Shrey08 · Answer

No, here is why:

(C) 3x<8   this means  x<\frac{8}{3}  ; x<2.6 this is possible because from the question stem  x<3  and 2.6 is less than 3.

(E) −3x>8   this means  x<-\frac{8}{3}  (you flip the inequality sign when you divide both side by a negative number, in this case "-3"); x<-2.6. This is cannot be true because the min. value x can have, towards the left of zero on the number line, is -2 and -2.6 is less than -2.

bumpbot · Answer

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If -2< x<3, which of the following CANNOT be true?

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