Read the following passage carefully :
(1) Introduction : In the face of rapid urbanization, effective waste management has become a critical issue in Indian cities. This case study aims to analyze the recycling practices among different demographics in urban India and their implications for sustainable urban development.
(2) Methodology : A survey was conducted among residents of various urban areas, ranging from teenagers to elderly citizens, to determine their waste management and recycling habits. Participants were asked to indicate their preferred methods of waste disposal and recycling and provide reasons for their choices. The data was then analyzed to identify trends and patterns among different age groups.
(3) Survey Examination : The survey comprehensively examined waste disposal habits. Participants were encouraged to share the reasons for their selections, providing invaluable insight into waste management behaviour.
(4) Results : The survey results revealed interesting insights into waste management and recycling practices among different age groups.
(5) Implications for Interventions : By discerning the diverse preferences among different age groups, policy-makers and environmental activists can not only make interventions to address specific demographic needs, but also delve into the underlying motivations and influences guiding these choices. For instance, targeting educational campaigns towards teenagers and young adults could empower them to adopt sustainable waste management practices. Concurrently, efforts to enhance the infrastructure for segregation at
source and provide incentives for recycling could improve overall waste management.
(6) Conclusion : The survey outcomes serve as a roadmap for designing targeted interventions that not only cater to diverse demographic needs but also foster a culture of sustainability. By harnessing the insights
gleaned from this study, stakeholders can collaboratively work towards building cleaner and more sustainable urban environments for future generations.
Find the interval in which $f(x) = x + \frac{1}{x}$ is always increasing, $x \neq 0$.