Chapter SH, Problem 2.15EP

To determine

To solve the equation

Answer to Problem 2.15EP

For positive modulus $18p+n-m$ , for negative modulus $18p-n+m$

Explanation of Solution

Given information:

Equation $18p+\left|n-m\right|$

Formula used:

Using modulus to calculate the answer

Calculation: this equation has modulus in it so it will have two solutions

Positive modulus and negative modulus

For positive modulus

  $18p+(n-m)$

Solving it further

  $18p+n-m$

For negative modulus

  $18p+\lfloor -(n-m)\rfloor$

Solving it further

  $18p-n+m$