Question

Which of the following are solutions to the following solutions to the following solutions? ∣+4∣=8 Hint is 2 answers x = 12 X=-12. X=4. X=-4

Answer 1

We are to solve for x

`|x+4|=8`

First, we apply absolute rule

since

`\begin{gathered} |u|=a \\ \text{implies} \\ u=a,u=-a \end{gathered}`

Then the solution to the equation is

`x+4=8,x+4=-8`

Solving the two equations we have

`\begin{gathered} x=8-4 \\ x=4 \end{gathered}`

And

`\begin{gathered} x+4=-8 \\ x=-8-4 \\ x=-12 \end{gathered}`

Therefore, the solutions are '

`x=4,x=-12`