a positive solution to

USAGE SUMMARY

The phrase "a positive solution to" is correct and usable in written English.
You can use it when discussing a favorable or beneficial answer to a problem or challenge. Example: "The team worked diligently to find a positive solution to the ongoing issues in the project."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

We have always said we are eager to work with the commission to find a positive solution to the issues".

The New York Times

"We sought a dialogue and discussion with Nintendo representatives to seek a positive solution to the dispute," Mr. Wing said.

The New York Times - Tech

He believed a positive solution to the Yukos problem was not only a matter for the company's employees but for the Russian economy generally.

The Guardian - Business

The experiments will also teach students to think about the concepts and practice of sustainable chemistry as a positive solution to issues of global warming, natural resource depletion and the environment.

University of California, Berkeley

This provides in particular a positive solution to the translation invariant subspace problem for weighted ℓp spaces on Z with even weights, for 1<p<∞.

Journal of Functional Analysis

Let u be a positive solution to (1.3).

Journal of Inequalities and Applications

Suppose that u is a positive solution to (1.3) with (uleq A) on (B_{p}(2R)).

Journal of Inequalities and Applications

Now, the existence of a positive solution to (2.16) follows from Theorem 1.1.

Boundary Value Problems

Next, we present the existence and uniqueness of a positive solution to the problem (2).

Advances in Difference Equations

Therefore, the existence of a positive solution to (1.9) is proved.

Boundary Value Problems

We first consider the existence of a positive solution to problem (2.10).

Boundary Value Problems

Expert writing Tips

Best practice

When using "a positive solution to", ensure the context clearly indicates the problem being resolved and the benefits of the solution. This strengthens the impact of your statement and avoids ambiguity.

Common error

Avoid using "a positive solution to" as a generic filler. Be specific about the problem and the solution's positive impacts. Vague usage weakens your writing; clarity strengthens it.

Linguistic Context

The phrase "a positive solution to" functions as a noun phrase that describes a beneficial resolution or answer to a problem or issue. As Ludwig AI indicates, the phrase is grammatically correct and widely used. It often introduces a statement that explains how a challenge was overcome effectively.

Expression frequency: Very common

Frequent in

Science

51%

News & Media

22%

Formal & Business

9%

Less common in

Encyclopedias

3%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "a positive solution to" is a grammatically correct and frequently used phrase to denote a favorable resolution to a problem. As Ludwig AI confirms, it’s appropriate for various contexts, ranging from scientific and academic writing to news and business communications. To enhance clarity, specify the problem and solution. For alternatives, consider "a favorable solution to" or "an effective resolution to" to add nuance. Remember that while grammatically sound, overuse can dilute its impact, so be selective in its application.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a favorable solution to

Replaces "positive" with a synonym that emphasizes the beneficial nature of the solution.

an effective resolution to

Focuses on the efficiency and success of resolving an issue.

a constructive answer to

Emphasizes the helpful and building nature of the response.

a viable solution to

Highlights that the solution is practical and capable of working.

a promising solution to

Indicates that the solution shows potential for success.

a successful resolution to

Focuses on the achievement of resolving a problem successfully.

a beneficial answer to

Replaces "solution" with "answer" while retaining the emphasis on the positive outcome.

a helpful response to

Focuses on the assistance provided by the response to the issue.

a productive approach to

Shifts the focus to the method used to address the problem.

a practical answer to

Emphasizes the practicality of the solution.

FAQs

How can I use "a positive solution to" in a sentence?

You can use "a positive solution to" to describe how a problem was solved in a beneficial way. For example, "The company implemented a positive solution to the problem of low employee morale".

What are some alternatives to "a positive solution to"?

Alternatives include "a favorable solution to", "an effective resolution to", or "a constructive answer to", depending on the nuance you wish to convey.

Is it better to say "a positive solution to" or "a solution to"?

While both are grammatically correct, "a positive solution to" emphasizes the beneficial aspect of the solution. "A solution to" is more neutral and simply indicates that a problem has been resolved.

What's the difference between "a positive solution to" and "a positive approach to"?

"A positive solution to" refers to the specific outcome of resolving a problem, whereas "a positive approach to" refers to the method or strategy used in addressing the problem.