# A quite delicious inequality problem

• MHB
• anemone
In summary, "A quite delicious inequality problem" is a mathematical problem that involves comparing two quantities using mathematical symbols such as <, >, and =. It is important to study inequality problems because they allow us to compare and analyze different quantities in a mathematical way. Some common strategies for solving inequality problems include using algebraic manipulation, graphing, and using logical reasoning. "A quite delicious inequality problem" can be applied in real life to determine maximum profit, minimum cost, and analyze relationships between variables. When solving inequality problems, it is important to avoid common mistakes such as forgetting to flip the direction of the inequality and not considering all possible cases.
anemone
Gold Member
MHB
POTW Director
Prove that $2^{2\sqrt{3}}>10$.

we have $3 > \frac{25}{9}$
or $\sqrt{3} > \frac{5}{3}$

hence $2^{2\sqrt{3}} > 2^{2*\frac{5}{3}}\cdots(1)$

Now $2^{2*\frac{5}{3}} =2^{\frac{10}{3}}= \sqrt[3]{2^{10}}= \sqrt[3]{1024}> 10\cdots(2)$

from (1) and (2) we get above

## 1. What is "A quite delicious inequality problem"?

"A quite delicious inequality problem" is a mathematical problem that involves finding the relationship between two quantities, where one is greater than or less than the other. It is often referred to as an "inequality" because the two quantities are not equal.

## 2. Why is it called a "quite delicious" inequality problem?

The term "quite delicious" is used to describe the problem because it is often seen as a fun and challenging puzzle to solve. It requires critical thinking and creativity, much like solving a delicious puzzle or riddle.

## 3. What makes "A quite delicious inequality problem" important?

"A quite delicious inequality problem" is important because it helps develop problem-solving skills and logical reasoning. It is also a fundamental concept in mathematics and has many real-life applications, such as in economics, physics, and engineering.

## 4. How do you solve "A quite delicious inequality problem"?

The first step in solving "A quite delicious inequality problem" is to understand the problem and identify the given information. Then, use algebraic techniques to manipulate the inequality and find the solution. It is essential to check the validity of the solution and make sure it satisfies the given conditions.

## 5. Can "A quite delicious inequality problem" have more than one solution?

Yes, "A quite delicious inequality problem" can have multiple solutions. In some cases, there may be an infinite number of solutions, while in others, there may be a finite number of solutions. It depends on the given conditions and the nature of the inequality.

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