Is a

Question

Is a < b < c ?

(1) a - 1 < b < c + 1
(2) a + 1 < b < c - 1

TheBipedalHorse · Answer

a + 1 < b < c - 1 a + 1 < b implies b > a b < c - 1 implies c > b therefore c > b > a

Apeksha2101 · Answer

How is this explanation justified, can someone please elaborate

Flower_Child · Answer

You can see through this solution by taking number line into consideration. Take any number say n in number line . 
You just have to note here that n will always be greater than n-1, and n will always be less than n+1
---------(n-1)-------n--------(n+1)---------
Ex: 4 will be greater than (4-1) and less than (4+1)
-3 will be greater than (-3-1) and less than (-3+1)

Now coming back to question, you can see now that a < a+1 and c-1 < c

Given statement (2) a + 1 < b < c - 1
We know that a < a+1 and and c-1 < c

Thus a < a + 1 < b < c - 1 < c 
or a < b < c

Is a < b < c ? (1) a - 1 < b < c + 1 (2) a + 1 < b < c - 1

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