The phrase "a less objectionable" is correct and usable in written English.
It can be used when comparing two or more options, indicating that one option is more acceptable or less problematic than another.
Example: "While both solutions have their flaws, I believe that option B is a less objectionable choice for our project."
Alternatives: "a more acceptable" or "a more palatable".
A less objectionable but equally calculated gesture will be Mr. Bush's demand that his tax cuts be made permanent.
But Pakistani officials have made clear in public statements that they regard the Predator attacks as a less objectionable violation of Pakistani sovereignty.
There is such a thing as policymaking shape, and if qualified Republicans abstain from serving now their skills might atrophy too much to be of any use when a less objectionable Republican comes along.
Marie is suffering from breast cancer, but outlives her diagnosis by several years, long enough to see her daughter – now a less objectionable teenager played by Britt Robertson – get taken to her first prom.
The History In the 19th century, before Town and Village arrived, the chunk of Manhattan they now occupy was in the Gashouse District, a slum filled with odoriferous gas tanks and tenement residents, including the Gashouse Gang, a group of misfits whose name was later adopted by a less objectionable club called the St . Louis Cardinals
Be that as it may, it's hard to imagine a less objectionable, more relevant and more desirable social good than keeping the Internet and our critical infrastructure safe for all.
Meanwhile, the Department of Energy (DOE) in recent years has directed money to so-called "deep boreholes" as a less-objectionable and cheaper way to deal with some of the waste.
For obvious reasons these other responsibilities do not make the interrogation proposed here any less objectionable.
On the other hand, "teaching to the test" would be a lot less objectionable if the tests themselves were compatible with an engaging curriculum and an atmosphere conducive to learning.
Is a statute less objectionable which authorizes expenditure of federal moneys to induce action in a field in which the United States has no power to intermeddle?
But there's another kind of price-differentiating strategy that's based on differences in products and most people find that a lot less objectionable.
