tania wrote:
For the following question, it is indicated that option D is correct.
I am not able to understand why ? can anyone explain to me in detail about this one
if b< 1 and 2x-b = 0, which of the following must be true?
A.X>-1
B.x<-2
C.X=2
D.X<3
E.X>3
Regards,
Tania
The two statements we have been given are :
1) b < 1
2) 2x - b = 0Now notice that all the answer choices ask us something relating to the value of 'x'. This is our cue for rearranging the given information so that we can cross check its validity with the answer choices.
Let us write the equation as : x = b/2
Since we know that 'b < 1', we can safely conclude that x must be less that 1/2 or
'x < 0.5'Now let us compare the answer choices to see which one of them must be true with the information we have at hand.
(A) x > -1 --> We know that x < 0.5 but there is no restriction on its lower limit. Thus it can hold values that are less than -1. Hence this statement is not necessarily true.
(B) x < -2 --> Again since x can hold any values less than 0.5 (such as 0, -0.5 etc.) this statement is not always true.
(C) x = 2 --> Since we know that x < 0.5, this statement can never be true.
(D) x < 3 --> If x < 0.5, then x MUST be less than 3.
Therefore this statement MUST be true.(E) x > 3 --> Since we know that x < 0.5, this statement can never be true.
Answer : D
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