Chapter 11.1, Problem 7LC

To determine

Find the expressions $3-x;x-3\text{and}2-y,-y+2$ are opposites, if yes, explain.

Answer to Problem 7LC

They $3-x=-(x-3)$ are opposites but $2-y=-y+2$ , they are not opposites.

Explanation of Solution

Given:

The expressions: $3-x;x-3\text{and}2-y,-y+2$

Concept Used:

The additive inverse is the number with the opposite sign. So -3 is the additive inverse of 3, and 16 is the additive inverse of -16

The additive inverse or the opposites of an expression is the expression with the opposite sign.

Calculation:

  $3-x=-(x-3)$ , so (3 − x) and (x − 3) are opposites.

  $2-y=-y+2$ , both are same expression. They are not opposites.

Thus, they $3-x=-(x-3)$ are opposites but $2-y=-y+2$ , they are not opposites.