1.
If you hold out your hand or something you have in your hand, you move your hand away from your body, for example to shake hands with someone.
'I'm Nancy Drew,' she said, holding out her hand...
PHRASAL VERB: V P n (not pron)
2.
If you hold out for something, you refuse to accept something which you do not think is good enough or large enough, and you continue to demand more.
I should have held out for a better deal...
He can only hold out a few more weeks.
PHRASAL VERB: V P for n, V P
3.
If you say that someone is holding out on you, you think that they are refusing to give you information that you want. (INFORMAL)
He had always believed that kids could sense it when you held out on them.
PHRASAL VERB: V P on n
4.
If you hold out, you manage to resist an enemy or opponent in difficult circumstances and refuse to give in.
One prisoner was still holding out on the roof of the jail.
PHRASAL VERB: V P
5.
If you hold out hope of something happening, you hope that in the future something will happen as you want it to.
He still holds out hope that they could be a family again.
PHRASAL VERB: V P n (not pron)