Chapter ISG, Problem 3.8.4P

To determine

To calculate the given equation

Answer to Problem 3.8.4P

The set of solution for the given equation is,

{ -1, 3}

Explanation of Solution

Given information:

The equation is,

  $\left|x-1\right|+3=5$

Formula used:

Equation solving.

Calculation:

Shifting left hand side values to right hand side,

  $\left|x-1\right|=5-3$

So,

  $\left|x-1\right|=2$

Opening mod,

  $x-1=\pm 2$

Shifting the left hand side values to right hand side,

  $x=\pm 2+1$

If +2,

  $x=2+1$

On solving,

  $x=3$

If -2,

  $x=-2+1$

On solving,

  $x=-1$

Hence the set of solution for the given equation is,

{-1, 3}