Final answer:
To solve the given expression, we simplify the inside parentheses first, then perform the multiplication and subtraction in the expression, resulting in the answer of -16.
Step-by-step explanation:
To solve the expression 11−[7−5×(3−7)], we follow the order of operations, which is parentheses, multiplication and division (from left to right), and addition and subtraction (from left to right). Let's break it down:
- Start by simplifying the inside parentheses: (3-7) = -4
- Multiply -4 by 5: -4 * 5 = -20
- Subtract -20 from 7: 7 - (-20) = 27
- Finally, subtract 27 from 11: 11 - 27 = -16
Therefore, the answer is -16, so the correct option is b. -14.