Want to write mongodb query that all the numbers that are not between particular range

Below query i have written to get range between 400 to 800

db.products.find({$and: [{price: {$gt: 400}}, {price: {$lt: 800}}]});

But how to get values that are not between range of 400 to 800

db.products.find({$and: [{price: {$lt: 400}}, {price: {$gt: 800}}]});

why above query not shown any result?

Thanks

>Solution :

Simple $or will do the job:

(price cannot be <400 & >800 at the same time)

db.collection.find({
  $or: [
    {
      "price": {
        $lt: 400
      }
    },
    {
      "price": {
        $gt: 800
      }
    }
  ]
})

playground