is a “non-decreasing” sequence “increasing”?

Question

While studying the book \"Introduction to Algorithms by Cormen\", I found a strange thing. Everywhere if it refers to an increasing order, the book refers it as \"non-decrea

Answer 1

1,2,3,4 is an increasing sequence or a non-decreasing sequence.

1,1,1,1 is a non-decreasing sequence but isn't an increasing sequence.