Which of the following statements is true ?

Options

A. `-13gt-8-(-6)`
B. `-5-4gt-12+2`
C. `(-8)-3=(-3)-(-8)`
D. `(-15)-(-22)lt(-22)-(-15)`

Answer

To determine which of the given statements is true, we will evaluate each statement step by step.

### Step 1: Evaluate the first statement
**Statement:** Minus 13 is greater than minus 8 minus minus 6.

1. Calculate \( -8 - (-6) \):
\[ -8 - (-6) = -8 + 6 = -2 \]
2. Now compare \( -13 \) and \( -2 \):
\[ -13 < -2 \]
So, the statement "Minus 13 is greater than minus 8 minus minus 6" is **not true**.

### Step 2: Evaluate the second statement
**Statement:** Minus 5 minus 4 is greater than minus 12 plus 2.

1. Calculate \( -5 - 4 \):
\[ -5 - 4 = -9 \]
2. Calculate \( -12 + 2 \):
\[ -12 + 2 = -10 \]
3. Now compare \( -9 \) and \( -10 \):
\[ -9 > -10 \]
So, the statement "Minus 5 minus 4 is greater than minus 12 plus 2" is **true**.

### Step 3: Evaluate the third statement
**Statement:** Minus 8 minus 3 is equal to minus 3 minus minus 8.

1. Calculate \( -8 - 3 \):
\[ -8 - 3 = -11 \]
2. Calculate \( -3 - (-8) \):
\[ -3 - (-8) = -3 + 8 = 5 \]
3. Now compare \( -11 \) and \( 5 \):
\[ -11 \neq 5 \]
So, the statement "Minus 8 minus 3 is equal to minus 3 minus minus 8" is **not true**.

### Step 4: Evaluate the fourth statement
**Statement:** Minus 15 minus minus 22 is less than minus 22 minus minus 15.

1. Calculate \( -15 - (-22) \):
\[ -15 - (-22) = -15 + 22 = 7 \]
2. Calculate \( -22 - (-15) \):
\[ -22 - (-15) = -22 + 15 = -7 \]
3. Now compare \( 7 \) and \( -7 \):
\[ 7 > -7 \]
So, the statement "Minus 15 minus minus 22 is less than minus 22 minus minus 15" is **not true**.

### Conclusion
After evaluating all statements, we find that only the second statement is true:
**True Statement:** Minus 5 minus 4 is greater than minus 12 plus 2.

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