The phrase "a serious set of" is correct and usable in written English.
It can be used to describe a collection or group of items, issues, or situations that are significant or important in nature.
Example: "The committee presented a serious set of recommendations to address the ongoing environmental crisis."
Alternatives: "a significant collection of" or "an important group of".
The much-reviled Avigdor Lieberman is facing a serious set of legal charges.
And this: If you come to me with a serious set of proposals, I will be there to listen.
Gov. Andrew M. Cuomo has proposed a serious set of liability reform proposals as part of the package approved by his Task Force on Medicaid Redesign.
"We have a serious set of issues to confront and we know that those issues can't all be met if we build things in New York, Boston or Geneva".
But as Congress gathers for its lame-duck session and confronts a serious set of economic and tax questions that could bring the country to the brink of the "fiscal cliff," one of the lingering questions is whether the pledge — drafted and enforced by Grover Norquist's Americans for Tax Reform — will hold up.
"A lot of people believe sincerely that the restructuring plans each of your companies have provided to us are not a serious set of plans," Mr. Shelby pointedly told the leaders of the Detroit companies, who appeared before the Senate Banking Committee last Thursday.
The Dutch duo, Sunnery James & Ryan Marciano, came with a serious set full of hard beats and high energy.
But the government pressed forward with a trial on a more serious set of charges, including violating the Espionage Act and aiding the enemy.
Although this line of thought sounds reasonable (at least to me), one can argue that there is an obvious flaw since the LE cell is associated with a more serious set of disease manifestations.
It is the prevention of a very serious set of attacks.
Clinton didn't lose to Donald Trump because he had a more serious set of policies for revitalizing working-class America.
