What is the secured connection, if one is allotted an infected ip?

Hi,
Now the router has become the target of the attackers, who are attacking thro router to get what they want like remote access, making Denial of Service attacks and whatnot.

By changing the router dns to google or other secured public dns, would somewhat protect this attack by not allowing those connections, besides closing unwanted ports. Checking at router checker Fsecure sites, and shields up, one can be sure of network security to the maximum extent. Users action include change of admin password and other security settings in the router like disabling pings etc.

My question is , if a dynamic ip is allotted to the users by the ISP and if one logging in an infected ips, that is the compromised computer's ips, then what is the use of all those security settings that one make to keep his network totally secured. It is known fact , that external ips are allocated for different logging sessions of the users, besides his device ips. This is the ips , thro which you are connected to the internet for that session.
If one is logged in an infected ip, then what is the use of all those security measures.
I had the experience of not logging in to some forums at some times, saying that i need to provide extra security like filling maths questions and capcha, before allowing to their sites, syaing that spam filter shows this as infected ip. Sometimes, i was asked to log in after sometime, so that log in to a non infected ips to get immediate access.
is my presumption of infected ips not true. or true. If that is true, then any attacker could easily attack the computer at that time by sending brute force attack or any other attack, as the ip is already affected by spam or any other suspicious activity.
Can i expect a detailed reply to the above

Hi, No reply so far for this post. Is my presumption of infected id wrong? please

Hi, am i incorrect in presuming that ips could be infected? Why no replies are forthcoming from this fourm nowadays. I think, the forum still exists

You cant infect an ip you can onky infect the device its allocated to if the ip is given to another device it doesn't take the infection with it but the old device will still be infected with a new ip. If you were to get an ip that was part of a botnet it may get packets from the net trying to connect but it would have no effect if your secure

Hi, Sam..
Thanks for reply. But i did see the sites like projecthoneypot.org are showing as infected ips spreading spam, dictionary attacks etc.
Could you explain a little further so that the answer not only help in understanding the concept and also others .
One more sub question: if the domain is shown as hijacked, then why users (general) are alerted. Is it not the worry of domain owner? or does that mean the dns server is compromized by the domain address attack. Please . Thanks

An IP is just a number and can't be infected if a site is infected it's the server not the actual IP. Sites can be hijacked if not secure a hacker can take over the server, a lot run external adds and these can run malware so it's not the server but the adds this even happens to well known names. Generally DNS isn't hacked as there are 1,000 of servers but local ones can be poisoned

Hi, Sam..
Thanks for educating me. Is there a difference between hack and hijacked. I ask this because, when i tried my ISPs server, avast wifi inspector alerted by its scan that dns hijacked message, and it listed some foreign domains. say two sites which i never used in my life time.
It gives a solution to change the dns to google dns in router set up. Once i did that, the alert goes off and i did not have any vulnerabilities.
With this , once i had the problem of log in in my regular site, which asked me some more credentials like capcha to further access. here i came across that the site is using, a spam filter and i was logged in an infected ip. Once, i logged in again after a few minutes , i got another public ip and i could log in to the site without problem.
this is the site, where i found the word infected ips around , and hence my question? Now you could understand, why i asked this query.
https://www.projecthoneypot.org/list_of_ips.php
Does that mean the service provider dns is compromized? How could it be, does that mean that the hijacked domains i told you has some security holes so, some third party hacked those sites thro service provider dns or the domains itself hacked the dns.
In these days of emerging threats, the proper understanding will be very helpful for me.
Thanks for all the clarifications

If you click on each ip at honeypot you see a lot are just spammers or simliar most anrnt infected just the user sends a lot of spam

Hi, What is the message you convey thro your last answer. It is really good to know, that ip could not be infected and only the sites that use the ips are affected. Ok, the real point , i want to make is , what is the security of one's system, be any device, if he is logged on to an ip of a individual or orgnaisation that is already infected? I think that you could answer it? Does that prove that no computer is protected always from any attack