5. Which statement is NOT true? If x = 1, then x2 = 1. If x2 = 1, then x = 1. If x= -1, then x2 = 1. x2 = 1 if and only if x = 1 or x = -1.

Question

asked Mar 14, 2020 121k views

1 Answer

JP Duffy · Answer 1 · 2020-03-18T20:50:26+0000

Answer:

$x^(2) =1, then\ x=1$ is NOT true.

Explanation:

1.

$If\ x=1, then\ x^(2) =1$ ......True

( 1 )² = 1

2.

If
$x^(2) =1, then\ x=1$ ........ NOT True

∴ x =± 1 .........this is correct

3.

$If\ x=-1, then\ x^(2) =1$ ......True

( -1 )² = 1

4.

x2 = 1 if and only if x = 1 or x = -1. .........True

( 1 )² = 1

( -1 )² = 1