Answer:
The solution for the absolute value equation is [tex]x=-1\quad \mathrm{or}\quad \:x=2[/tex].
Step-by-step explanation:
Consider the provided absolute value equation.
[tex]|2x-1|=3[/tex]
[tex]\mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a[/tex]
By using the above rule.
[tex]2x-1=-3\quad \mathrm{or}\quad \:2x-1=3[/tex]
[tex]2x=-3+1\quad \mathrm{or}\quad \:2x=3+1[/tex]
[tex]2x=-2\quad \mathrm{or}\quad \:2x=4[/tex]
[tex]x=-1\quad \mathrm{or}\quad \:x=2[/tex]
Hence the combine solution is [tex]x=-1\quad \mathrm{or}\quad \:x=2[/tex]
