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Question

2 lies between on the number line.

A
1 and 2
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B
0 and 1
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C
2 and 3
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Solution

The correct option is B 0 and 1

We know that when a<b<c, then a2<b2<c2.

Thus, the converse must be true. i.e., when a2<b2<c2, then a<b<c.

Now, we know that 1<2<4. Hence, 1<2<4 (When we consider the positive values of square roots).
Thus, 1<2<2.

Hence, 2 lies between 1 and 2.


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