Let's evaluate each of the given expressions to determine which one results in a positive number.
1. Evaluate the first expression:
[tex]\[ (-67) - 12 - 25 \][/tex]
Subtracting 12 from -67:
[tex]\[ -67 - 12 = -79 \][/tex]
Then subtracting 25 from -79:
[tex]\[ -79 - 25 = -104 \][/tex]
The result is [tex]\(-104\)[/tex], which is a negative number.
2. Evaluate the second expression:
[tex]\[ (-67) - (-76) \][/tex]
Subtracting a negative number is equivalent to adding the positive counterpart of that number:
[tex]\[ -67 - (-76) = -67 + 76 \][/tex]
Adding 76 to -67:
[tex]\[ -67 + 76 = 9 \][/tex]
The result is [tex]\(9\)[/tex], which is a positive number.
3. Evaluate the third expression:
[tex]\[ (-67) - (-12) \][/tex]
Subtracting a negative number is equivalent to adding the positive counterpart of that number:
[tex]\[ -67 - (-12) = -67 + 12 \][/tex]
Adding 12 to -67:
[tex]\[ -67 + 12 = -55 \][/tex]
The result is [tex]\(-55\)[/tex], which is a negative number.
4. Evaluate the fourth expression:
[tex]\[ (-67) - (-25) \][/tex]
Again, subtracting a negative number is equivalent to adding the positive counterpart of that number:
[tex]\[ -67 - (-25) = -67 + 25 \][/tex]
Adding 25 to -67:
[tex]\[ -67 + 25 = -42 \][/tex]
The result is [tex]\(-42\)[/tex], which is a negative number.
From the evaluations above, the only expression that results in a positive number is:
[tex]\[ (-67) - (-76) \][/tex]
The result of this expression is [tex]\(9\)[/tex], which is positive.
