SOLUTION
We want to solve the equation
[tex]|5t-1|=6[/tex]
The absolute value of a number is equal to a positive or a negative value, so
[tex]\begin{gathered} |5t-1|=6\text{ becomes } \\ 5t-1=6,5t-1=-6 \\ 5t-1=6 \\ 5t=6+1 \\ 5t=7 \\ t=\frac{7}{5} \\ Or \\ 5t-1=-6 \\ 5t=-6+1 \\ 5t=-5 \\ t=-\frac{5}{5} \\ t=-1 \end{gathered}[/tex]Hence t = -1 or t = 7/5
Graphing we have
