Question

|4x-1|=6 Solve the solution set is

Answer 1

We need to solve the next given expression:

`\lvert4x-1\rvert=6`

Now, we need to use the next absolute rule:

if lul = a, where a>0

Then, u = a or u = -1

Therefore, we have the next :

`\begin{gathered} 4x-1=6 \\ or \\ 4x-1=-6 \end{gathered}`

Solve for x . Therefore:

`4x-1=6`
`4x=6+1`
`x=(7)/(4)`

or

`4x-1=-6`
`4x=-6+1`
`x=-(5)/(4)`

Hence, x can take the next two values:

`x=-(5)/(4),(7)/(4)`