Which of the following is true ?
A: - 12 + (-15) B: -16 - (12) C: -14 - (-12)

Options

A. `B gt C gt A`
B. `A + B gt C`
C. `C gt A gt B`
D. `A lt B lt C`

Explanation

To determine which of the statements A, B, or C is true, we need to evaluate each expression step by step.

### Step 1: Evaluate Statement A
**Expression:** A: -12 + (-15)

- **Calculation:**
- When we add two negative numbers, we simply add their absolute values and keep the negative sign.
- |-12| + |-15| = 12 + 15 = 27
- Therefore, -12 + (-15) = -27.

**Result for A:** -27

### Step 2: Evaluate Statement B
**Expression:** B: -16 - (12)

- **Calculation:**
- Here, we are subtracting a positive number from a negative number.
- -16 - 12 = -16 + (-12) = -28.

**Result for B:** -28

### Step 3: Evaluate Statement C
**Expression:** C: -14 - (-12)

- **Calculation:**
- Subtracting a negative number is the same as adding its positive counterpart.
- -14 - (-12) = -14 + 12 = -2.

**Result for C:** -2

### Step 4: Compare the Results
Now we have the results for each statement:
- A = -27
- B = -28
- C = -2

### Step 5: Determine Which is True
To find out which statement is true, we compare the results:
- C (-2) is greater than A (-27).
- A (-27) is greater than B (-28).

Thus, the order from greatest to least is:
C > A > B

### Conclusion
The statement that is true is:
C: -14 - (-12) = -2, which is the largest value among the three.

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