Assalamualaikum, Ustadh. Some weeks ago, I made a Dua and I received what I wanted. Is it permissible to share this experience with my family and tell them that I made a Dua and received what I wanted? Maybe it can be an inspiration for them to make more Dua.

Ustadh AbdulAziz al-Haqqan

Yes, if you intend to encourage them and not to be praised.