Can someone tell if I block their number?
Briefly

"If you block someone's number, they won't find out right away, if at all. They won't get a notification saying they were blocked and they won’t be able to see the block (plainly) anywhere -- but they can infer and assume they've been blocked."
"Several text message changes can be clues to the other person that they may have blocked: If the text message looks green, it was sent as an SMS instead of an iMessage, 'Not Delivered' in red under the green text bubble, or an iMessage doesn’t show 'Delivered.'"
Read at ZDNET
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