Answer :

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]