Determine Whether Each of the Following "Theorems" Is True or False

question 152

True/False

determine whether each of the following "theorems" is true or false. Assume that a, b, c,
d, and m are integers with m > 1.
- $$\text { If } a \equiv b ( \bmod m ) \text {, and } a \equiv c ( \bmod m ) , \text { then } a \equiv b + c ( \bmod m )$$

---

Definitions:

Contractually Bound

Contractually Bound indicates that parties have agreed to specific terms and conditions outlined in a contract, obligating them to fulfill their respective parts of the agreement.

Actual Authority

Legal power granted to an agent by a principal, allowing the agent to act on the principal's behalf.

Implied Warranty

An unwritten guarantee that the goods or services being sold meet certain criteria for use as understood by the buyer and seller.

Implied Warranty

A legal assumption that a product will meet basic standards of quality and functionality, even if not expressly stated in a contract.