在下面短文的空白处填上适当的词或用所给词的适当形式填空
Some people live in the world for body while ____ for dignity(尊严).
I once took a walk along the street on a Saturday dusk, with a Pepsi can in my hand. An old woman in ragged clothes, ____was living on collecting ____ (use) cans, jars and tins, moved slowly towards me, with a bag on the back! ____ (walk) nearer, she looked up at me and then fixed her eyes on my can. At that time, I hadn't finished my cola, so I gave ____ several coins instead.
She stared at me for a few seconds ____ handed back the money. Quite confused, I asked: “Why not? Isn't that ____ you want?” “I am not a beggar,” she said ____ (serious), word by word.
Instantly, I felt so sorry. I had intended to help her, completely misunderstanding her. Thus I hurt her. What I could do at that moment was only to drink up the cola and handed her ____ emptied can. This time, she gave me a smile ____ satisfaction and gratitude in her eyes. The woman is poor in material life but is so respectable as a man. I am not only moved but also have learned a good lesson.
在区间0,1上单调递增,则实数
的取值范围是