Chapter ISG, Problem 3.8.3P

To determine

To calculate the given equation

Answer to Problem 3.8.3P

The set of solution for the given equation is,

{-6, 0}

Explanation of Solution

Given information:

The equation is,

  $\left|3w+9\right|-4=5$

Formula used:

Equation solving.

Calculation:

Shifting left hand side values to right hand side,

  $\left|3w+9\right|=5+4$

So,

  $\left|3w+9\right|=9$

Opening mod,

  $3w+9=\pm 9$

Shifting the left hand side values to right hand side,

  $3w=\pm 9-9$

Cross-multiplying the values,

  $w=\frac{\pm 9-9}{3}$

If +9,

  $w=\frac{9-9}{3}$

On solving,

  $w=0$

If -9,

  $w=\frac{-9-9}{3}$

On solving,

  $w=-6$

Hence the set of solution for the given equation is,

{-6, 0}