To solve the expression [tex]\((5 + 4 - 2) \times (-2)\)[/tex], we need to follow the order of operations, also known as BIDMAS/BODMAS (Brackets, Orders, Division/Multiplication, Addition/Subtraction).
1. Evaluate the expression inside the parentheses first:
[tex]\(5 + 4 - 2\)[/tex]
Start by performing the addition and subtraction from left to right:
[tex]\[
5 + 4 = 9
\][/tex]
[tex]\[
9 - 2 = 7
\][/tex]
So, the expression inside the parentheses evaluates to 7.
2. Multiply the result by [tex]\(-2\)[/tex]:
[tex]\[
7 \times (-2) = -14
\][/tex]
Thus, the final result of the expression [tex]\((5 + 4 - 2) \times (-2)\)[/tex] is [tex]\(-14\)[/tex].
Therefore, the best answer is:
C. [tex]\(-14\)[/tex]
