Final answer:
To determine which expressions have negative values, we can evaluate each expression. The expressions that have negative values are: -22, -4, and (4 - 10) - (8 + (-2)).
Step-by-step explanation:
To determine which expressions have negative values, we can evaluate each expression. Let's go through each option:
a. 2 = 21 - 3: This expression is not negative because 2 is equal to 21 - 3, which is a subtraction of positive numbers.
b. -22: This expression is negative because it is a negative number.
c. -4: This expression is also negative because it is a negative number.
d. (4 - 10) - (8 + (-2)):
To evaluate this expression, follow the order of operations.
First, simplify within the parentheses: (4 - 10) - (8 + (-2)) = (-6) - (8 + (-2)).
Next, evaluate the addition within the parentheses: (-6) - (8 + (-2)) = (-6) - (8 + (-2)) = (-6) - (8 - 2).
Finally, evaluate the subtraction: (-6) - (8 - 2) = (-6) - 6 = -12. Therefore, this expression is negative.
So, the expressions that have negative values are: -22, -4, and (4 - 10) - (8 + (-2)).