What is the least value of x possible if -1 < x ≤ 1 and x is a real number?
What is the least value of x possible if -1 < x ≤ 1 and x is a real number?
The correct option is D None of these
Have a look at the number line representing the interval given.
Note that the interval is open at -1. i.e., x cannot take the value equal to -1.
Since you know some basics of number theory you also know its not possible to determine the real number just after a number. A real number next to a real number will be an infinitely close number which can't be fully determined without error. Similarly in our case the least number in the interval is the number next to -1 since -1 is excluded from the interval. So the answer is none of these. In case they had asked for the largest number in the interval it would have been +1 since the interval is closed there.
None of these
Have a look at the number line representing the interval given.
Note that the interval is open at -1. i.e., x cannot take the value equal to -1.
Since you know some basics of number theory you also know its not possible to determine the real number just after a number. A real number next to a real number will be an infinitely close number which can't be fully determined without error. Similarly in our case the least number in the interval is the number next to -1 since -1 is excluded from the interval. So the answer is none of these. In case they had asked for the largest number in the interval it would have been +1 since the interval is closed there.
