What is the smallest n for a small inequality?

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In summary, the conversation discusses finding the smallest value of n that satisfies the inequality \lg {n\choose0.15n} + {n\choose0.15n} \geq {112} and clarifies that the log only contains the binomial term. The suggestion is made to use a numerical method to solve the problem.
  • #1
Dragonfall
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What is the smallest n such that

[tex]\lg {n\choose0.15n} + 0.15n \geq {112}[/tex]
 
Last edited:
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  • #2
Dragonfall said:
What is the smallest n such that

[tex]\lg {n\choose0.15n} + {n\choose0.15n} \geq {112}[/tex]
What is lg?
 
  • #3
Math_QED said:
What is lg?

Log base 2
 
  • #4
Dragonfall said:
Log base 2
Does the log contain the sum of both combinations? (Then you should have added more brackets)
 
  • #5
Math_QED said:
Does the log contain the sum of both combinations? (Then you should have added more brackets)

Sorry I formulated the inequality wrong. It's fixed now.

The log only contains the binomial.

I think it might be easier just to do this numerically...
 
  • #6
You can try to do:

2^LH = 2^RH

But I think the best approach is a numerical method.
 

What is small inequality?

Small inequality is a concept that refers to the unequal distribution of resources, opportunities, and wealth among individuals or groups within a society. It can also be described as the gap between the rich and poor, and the disparities that exist in terms of income, education, healthcare, and other aspects of life.

How is small inequality measured?

Small inequality is often measured using statistical tools such as the Gini coefficient, which calculates the level of income inequality within a society. Other measures include the Palma ratio, which compares the share of income of the top 10% to the bottom 40%, and the Human Development Index, which measures inequality in terms of education and health outcomes.

What factors contribute to small inequality?

Small inequality is influenced by a variety of factors such as economic policies, social norms, political systems, and historical legacies. Factors such as discrimination, lack of access to education and healthcare, and unequal distribution of resources can also contribute to small inequality.

What are the consequences of small inequality?

Small inequality can have negative consequences on both individuals and society as a whole. It can lead to social and political instability, reduced economic growth, and increased poverty and crime rates. It can also create barriers to social mobility and limit opportunities for individuals to reach their full potential.

How can small inequality be reduced?

Reducing small inequality requires a multifaceted approach that involves addressing the root causes of inequality. This can include implementing policies that promote equal access to education and healthcare, reducing discrimination and promoting diversity, and implementing progressive taxation systems. It also requires addressing systemic issues such as poverty, unemployment, and economic inequality.

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