State true/ false:Three rational numbers between −2   and −3  are −11 4 , −10 4 , −9 4  .

# State true/ false:Three rational numbers between   and  are  .

1. A
True
2. B
False

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

### Solution:

Here, we have to find three rational numbers between   and  .
We know that,
In order to find   rational numbers between two rational numbers   and   (where,   )  we can use the relation:   where,
= Number of rational numbers between the two rational numbers.
Comparing the two numbers,
Clearly,   Therefore,  .
Then,

Substituting the values of  ,

Three rational numbers between   and   using the relation:   are,
Hence, three rational numbers between   and   are  .
Thus, the given statement is true.
Therefore, option 1 is correct.

## Related content

 Matrices and Determinants_mathematics Critical Points Solved Examples Type of relations_mathematics

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)