Question

Q = {x:x is a rational number between 2 and 7 ​

Answer 1

Answer:

please put the formula

Answer 2

Answer:

We can find many rational numbers 11/5, 12/5, 13/5, 14/5, 15/5,16/5,17/5,18/5,19/5,20/5,26/5,27/5,29/5,31/5,33/5,34/5 are the rational numbers between 2 and 7.

Step-by-step explanation:

Given two numbers 2 and 7.

To find the set of all rational numbers between 2 and 7.

Solution : We can find any number of rational numbers between any two given rational numbers.

Now, for finding rational numbers between 2 and 7, we need to find the equivalent fractions of 2 and 7.

If the number used to multiply is bigger more rational numbers can be found.

So 2 can be written as 2 = 2×5  = 10

                                             1×5      5

and 7 can be written as 7 = 7×5 = 35

                                              1×5      5

Now between 10/5 and 35/5 we can find many rational numbers .

11/5,12/5, 13/5, 14/5, 15/5, 20/5, 26/5,27/5,28/5,29/5,30/5,31/5,32/5,33/5,34/5.

Therefore Q = {11/5, 12/5, 13/5, 14/5, 15/5, 16/5,17/5,18/5,19/5,20/5,21/5,22/5,23/5,24/5,25/5,26/5,27/5,28/5,29/5,30/5,31/5,32/5,33/5,34/5} are the rational numbers between 2 =10/5 and 7=35/5.

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