It is known that a<b. Instead of the symbol * insert the symbol < or >, so that the inequality will be true:

−2.7a*−12.7b

-2.7a * -12.7b

reverse the direction after multiplying by -1
2.7a ? 12.7b
now divide by 2.7b and you have
a/b ? 4.7
So, a and b are both the same sign.
If they are negative, then a < b
If they are positive, then a > b

For example, if a=10 and b=2,
-27 < -25.4
If a = -10 and b = -2, then
27 > 25.4