How can an inequality be manipulated to show a specific range of values?

[shawli]

In an example in my textbook, it says the following:

"If -1 ≤ x ≤ 1, then 0 ≤ x² ≤ 1. "


Can someone explain to me how to move from the first statement to the second statement please? I'm not quite sure how the -1 turned into a 0...

 

[Dick]

Did you draw a graph of x^2 on the interval -1 ≤ x ≤ 1?

 

[shawli]

Ah right... it's staring me right in the face! So clear that I missed it haha. Thank you!