Question

If - means is less than' and + means is greater than then A+ B + C does not imply?

• A. C-B-A
• B. B-A+C
• C. C-A+B
• D. B-A-C

Answer 1

Answer:

D. B-A-C

1. $C - B - A$

   • Translation: C < B < A

   • Check: This matches A > B > C perfectly.

   • Status: Implied (True)

2. $B - A + C$

   • Translation: B < A and A > C

   • Check: Since A > B, then B < A is true. Since A > C, this is also true.

   • Status: Implied (True)

3. $C - A + B$

   • Translation: C < A and A > B

   • Check: Since $A$ is the largest number, both C < A and A > B are true.

   • Status: Implied (True)

4. $B - A - C$

   • Translation: B < A < C

   • Check: This says $A$ is less than $C$ (A < C). But according to our main statement, $A$ is greater than $C$ (A > C). This is mathematically impossible.

   • Status: Does not imply (False)

The expression that does not imply is $B - A - C$.