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=\frac{7}{4}$

or

$4x-1=-6$$4x=-6+1$$x=-\frac{5}{4}$

Hence, x can take the next two values:

$x=-\frac{5}{4},\frac{7}{4}$