Chapter 1, Problem 1MC

Determine whether each statement is true or false.

__________ 1. If a – b = c, then b = a + c. [1.3a]

To determine

Whether the given statement is true or false.

Answer to Problem 1MC

The given statement is false.

Explanation of Solution

Given:

The statement is “If $a-b=c$, then $b=a+c$”.

Definition used:

Subtraction

The difference $a-b$ is that unique whole number c for which $a=c+b$.

From the given statement, $a-b=c$.

That is, the difference $a-b$ is the whole number c.

By above definition, the difference $a-b=c$ only when $a=c+b$.

That is, the whole number a is the sum of the whole numbers b and c.

Thus, the correct statement is “If $a-b=c$, then $a=b+c$”.

Therefore, the given statement is false.