Dell usually makes their laptops pretty easy to open and service. If the internal battery does eventually die, you can just buy another one online (might even be able to get it from Dell though they'll probably charge you an arm and a leg). Remove the bottom cover, and the internal battery is usually screwed or stuck on with some adhesive tape, and a simple connector to power the laptop. Easy to swap out. Generally, Dell's designs (especially the low-end Inspiron) aren't deliberately made to thwart attempts to repair the laptop, like the Macbooks or Microsoft Surface.
But yeah, if you wanted to use it always plugged in, you could do so. The charging circuitry on modern batteries is designed to prevent any charging if it detects the battery has gotten into a dangerous state (overcharged or over-discharged - they tend to catch fire or explode if you charge them in those states). So there's no real danger from leaving a "dead" battery always plugged in. The only thing you need to be careful of is if it starts swelling as described above. That can strip screws or tear apart some of the casing. And since you're going to be opening up the bottom to make sure the battery isn't swelling in the first place, might as well buy a replacement battery and swap it while you're in there.