Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Sep 22, 2023

Find the difference between the perimeters $P_1$ and $P_2$ of two figures, where the difference is $n$ . Write and solve an absolute value inequality to represent the situation.

STEP 1

Assumptions1. $1$ and $$ represent the perimeters of two figures. . The difference between the perimeters of the figures is $n$.

STEP 2

We need to write an absolute value inequality that represents the situation. The absolute value of a difference is the distance between the two numbers on a number line, regardless of which number comes first. So, the difference between the perimeters of the two figures can be represented as $|1 -2|$

STEP 3

According to the problem, the difference between the perimeters of the figures is $n$ . So, we can write the absolute value inequality as $|1 -2| = n$

STEP 4

The absolute value inequality can also be written as two separate inequalities $1 -2 = n \quad or \quad2 -1 = n$

STEP 5

To solve the inequality, we need more information about the values of $1$ , $2$ , and $n$ . Without these values, we cannot solve the inequality.

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