To solve the expression [tex]\((5+4-2) \times (-2)\)[/tex], follow these steps:
1. Calculate the expression inside the parentheses:
[tex]\[
5 + 4 - 2
\][/tex]
- First, add 5 and 4:
[tex]\[
5 + 4 = 9
\][/tex]
- Next, subtract 2 from 9:
[tex]\[
9 - 2 = 7
\][/tex]
So, [tex]\((5 + 4 - 2) = 7\)[/tex].
2. Multiply the result by [tex]\(-2\)[/tex]:
[tex]\[
7 \times (-2)
\][/tex]
- We know that multiplying a positive number by a negative number results in a negative product. Therefore:
[tex]\[
7 \times (-2) = -14
\][/tex]
Hence, the result of [tex]\((5 + 4 - 2) \times (-2)\)[/tex] is [tex]\(-14\)[/tex].
Therefore, the correct answer is:
C. [tex]\(-14\)[/tex]