Question

Any rational number between 3 by 7 and 5 by 7 is

Answer 1

Answer:

X = {x|x belongs to R, 3/7 < x < 5/7}, 4/7

Step-by-step explanation:

To insert a number between two numbers belonging to the same set, apply the mean formula.

To insert a number c in the closed interval (a,b), where all three belong to the same set, we will work out (a + b)/2.

Let a be 3/7 and b be 5/7. Then (a+b)/2

= ((3 + 5)/7)/2

= (8/7)/2

= 8/14

= 4/7.

Clearly as 3/7 < 4/7 < 5/7, 4/7 is a rational number between 3/7 and 5/7.