Question

State true or false:
[(-11) + 5] + (-14) = (-11) + [5 + (-14)] and state the property used if this holds true.

• A. True, associativity
• B. False
• C. True, closure
• D. True, distributivity

Answer 1

The correct option is A True, associativity

We need to solve both sides of the given equation and compare them for equality to prove the expression as true.

LHS: [(-11) + 5] + ( -14)

= [ –6] –14 = –20

Now, let’s solve the RHS:

RHS: ( -11) + [5 + ( -14)]

= –11 +[-9] = –20

Since LHS = RHS, the equation is proved to be true. The property followed here is associativity.