My bash script verification code does not work - bash

Question

I am trying to write a program where the user can enter a username and password, then the code should check if the username and password are correct unfortunately whenever it checks no matter if the username/password is correct of not it will echo "Username Verified".
#!/bin/bash
echo "Username"
read username
echo "Password"
read password
sleep 1
correct_u=user
correct_p=pass
if [[ $username -eq $correct_u ]]
then
echo "Username Verified..."
else
echo "Username Incorect..."
fi
sleep 1
if [[ $correct_p -eq $password ]]
then
sleep 1
echo "Password Verified..."
else
echo "Password Incorect..."
fi
I have tired checking that all the variables work

Answer 1

Unless username and correct_u consist solely of digits, [[ $username -eq $correct_u ]] will always evaluate to true, since -eq forces the arguments to be numbers, and if there are no number, the arguments are treated as zero.
To do a string comparision, do
[[ $username == "$correct_u" ]]
Quoting the right-hand side is important here, to avoid that it is interpreted as glob-pattern, since == in general does a wildcard match.

Answer 2

You should use = instead of -eq when comparing strings in bash. = is used for string comparison while -eq is used for integer comparison:
#!/bin/bash
echo "Username"
read username
echo "Password"
read password
sleep 1
correct_u=user
correct_p=pass
if [[ "$username" = "$correct_u" ]]
then
echo "Username Verified..."
else
echo "Username Incorrect..."
fi
sleep 1
if [[ "$correct_p" = "$password" ]]
then
sleep 1
echo "Password Verified..."
else
echo "Password Incorrect..."
fi

Answer 3

Embedding your name & pw in cleartext in the file isn't ideal. The user ID must be able to read it to execute the commands in it; executable permissions won't help if you take away read.
Use that to your advantage. Set the user/group/world permissions appropriately. Then the user and password are entered at login...
You might want to combine methods from here and here, reading the right password securely from a vault file and comparing that to the one you read silently from the user.
But first, as already mentioned - fix your test.
$: [[ "one" -eq "two" ]] && echo same || echo no
same
$: [[ "one" == "two" ]] && echo same || echo no
no
$: [[ "one" == "one" ]] && echo same || echo no
same