delete from a text file if matched the specific string

Question

I'm wirting the simple script for cleanup some unused strings.

and i used awk '/^EEEEEEEEE$/,/^$/' file to grep the scope which is need to delete.

As i know i can use sed -i '/<parrten>/d' file to delete a line from the file.

The intrest thing is when i combined them in the for loop then the sed command cannot delete lines, and i also checked the varibales in the for loop block the string is correct.

For Loop

#!/bin/bash

for i in $(awk '/^EEEEEEEEE$/,/^$/' file); do
  echo $i
  sed -i '/$i/d' file
done

File content:

AAAAAAA
BBBBBBBB
CCCCCCCC
DDDDDDD

EEEEEEEEE
FFFFFFFFF
GGGGGG

HHHHHHH
LLLLLLLLL
PPPPPPPP

I'm not sure there is any missing or incorrect. I just want to make sure can delet them