Operation on Rational Number

Question

If x < -3/5 and y > -2/7; find two rational numbers between x and y.

Answer 1

The solution set for x<-3/5 is infinite... (-∞, -3/5)
The solution set for y>-2/7 is infinite ... (-2/7, ∞)
 
-3/5 = -21/35
-2/7 = -10/35
 
The two solution areas do not overlap.
 
Are you sure this problem shouldn't be
x = -3/5 and y = -2/7?
 
Regardless, any fraction between -10/35 and -21/35
will be a rational number between -3/5 and -2/7
 
How about:  -11/35, -12/35

Answer 2

How about -3/5 and -2/7, since they are not part of the original x and y solution sets :)