Question

Find two integers A and B such that A < 29/6 < B, and represent 29/6 on number line​

Answer 1

A = 4 and B = 5

we have to find the integers A and B such that, A < 29/6 / < B. and also we have to represent 29/6 in number line.

now A < 29/6 < B

⇒A < (30 - 1)/6 < B

⇒A < 30/6 - 1/6 < B

⇒A < 5 - 1/6 < B

now it is clear that, A is less than 5 - 1/6

so, nearest integral value of A must be 4.

and B is greater than 5 - 1/6 , so nearest integral value of B is 5.

that means, 4 < 5 - 1/6 < 5

so, A = 4 and B = 5. you can see it on number line as shown in figure.

in figure, we represent 29/6 between 4 and 5.

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