Answer:
[tex]x^{2} =1, then\ x=1[/tex] is NOT true.
Step-by-step explanation:
1.
[tex]If\ x=1, then\ x^{2} =1[/tex] ......True
( 1 )² = 1
2.
If [tex]x^{2} =1, then\ x=1[/tex] ........ NOT True
∴ x =± 1 .........this is correct
3.
[tex]If\ x=-1, then\ x^{2} =1[/tex] ......True
( -1 )² = 1
4.
x2 = 1 if and only if x = 1 or x = -1. .........True
( 1 )² = 1
( -1 )² = 1
