You should be careful calling any area bad. May not be understood but "bad" is a dangerous term that can get you into some fair housing issues pretty quickly when you're advertising for potential tenants. If it's truly a bad area for your (consistent) criteria then you shouldn't buy there regardless of price point.
The advice here has been fairly on point, you shouldn't bid emotionally. However, completely disregarding the feelings of the seller is bad business. You need to be able to educate whoever is representing the seller on why your offer is low. And the numbers should justify the offer regardless of how low it is. In order for the deal to work, especially with individual sellers not REO's, both sides need to feel like they're getting a fair deal.
Keep in mind, these may be emotionless business transactions to you but you're buying people's homes and there is a lot of sentimentality attached to that. Throwing out an offer below market value (especially in a hot market) is insulting unless you can present it in a way that makes them comfortable with your plans for the property.