Math, asked by khulalsachin1, 1 year ago

A number greater than 3but less than 8also the number is greater than 6but kess than 10what is number

Answers

Answered by vinay0073
2
hi
as it is greater than 3 but less than 8
it can be 4 5 6 7
and it is greater than 6 and less than 10
it will be 7
so
your answer is 7


hope it helps you

khulalsachin1: How
Answered by Swarup1998
1
The answer is given below :

Let us consider that the number is x.

Then,

3 < x < 8 .....(i)

and

6 < x < 10 .....(ii)

Now, adding the two inequalities (i) and (ii), we3 get

3 + 6 < x + x < 8 + 10

=> 9 < 2x < 18

=> 9/2 < x < 9

So, the number is greater than 9/2 and less than 9. So, we have natural numbers 5, 6, 7 and 8.

But 8 contradicts (i) and, 5 and 6 contradict (ii).

The only possibility is 7, which satisfies all the three inequalities.

Thus the required number is 7.

Thank you for your question.
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