Final answer:
The correct evaluation of the expression {3 - [-4 - (6 ÷ 2)]} × (-5) is -50, which doesn't match any of the options provided. It appears there is a mistake in the given choices.
Step-by-step explanation:
To evaluate the expression {3 − [−4 − (6 ÷ 2)]} ⋅ (−5), we first need to solve the operation inside the parentheses, then the brackets, and lastly the curly braces. Follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
First, we solve the parentheses: (6 ÷ 2) = 3.
Next, we move on to the brackets and replace the parentheses calculation: [−4 − 3] = [−7]. Here, negative four minus three gives negative seven.
Then we evaluate the curly braces: {3 − (−7)} = {3 + 7} = {10}. In this step, subtracting negative seven is the same as adding positive seven to three.
Finally, we multiply by negative five: {10} ⋅ (−5) = −50.
Therefore, the evaluated result of the expression is −50, which is not present in the given options. There may be an error with the options provided.