Answer:
None of the statements are true
Step-by-step explanation:
Given statements are:
I. The difference between -14 and -8.3 is positive.
II. -14 + 8.3 has the same value as the difference between -1.4 and -8.3.
III. The between -8.3 and -14 has the same value as the difference between -1.4 and -8.3.
Test for statement (I).
difference = -14-(-8.3) = -14+8.3 = -5.7
which is negative so statement I is FALSE.
Test for statement (II).
-14+8.3 = 5.7
difference = -14-(-8.3) = -14+8.3 = -5.7
which are different so statement II is FALSE.
Test for statement (III).
difference = -8.3-(-14) = -8.3+14 = 5.7
which is different than difference value -5.7 for statement I.
so statement III is FALSE.
So the correct choice is "None of the statements are true".