Question

Rewrite the expression without using the absolute value symbol.
l 2x - 1 l

Answer 1

if 2x-1>0, then |2x-1|=2x-1
if 2x-1<0, then |2x-1|=-(2x-1)=-2x+1

Answer 2

sorry i have to give the answer if:

\[x \ge 1/2\]

\[x < 1/2\]

Answer 3

if 2x-1>0, then that means x>1/2, so |2x-1|=2x-1
if 2x-1<0, then that means x<1/2 so |2x-1|=-(2x-1)
if x=1/2, then |2x-1|=|2*1/2-1|=|1-1|=0

Answer 4

you can include the 1/2 in either of the above
if x>=1/2, then |2x-1|=2x-1