Question

lfl-2/3=5/6

Answer 1

\[\left| f \right|-2/3=\left| f \right|-4/6=5/6\rightarrow \left| f \right|=9/6=3/2\]\[f=\pm3/2\]

Answer 2

???????????

Answer 3

|f|=9/6
f=9/6 of f=-9/6

Answer 4

its either 5/6or5/6,2/3or2/3,1and1/2or1and1/2

Answer 5

\[f=\pm3/2=\pm1 +1/2\]so assuming you forgot a minus sign, the answer is the last choice.
You should have been able to figure that 9/6=3/2=1 1/2 yourself. Do you understand/care how to solve these or are we just doing your work for you?