Exploring Maximum and Minimum Values Given Integer Ranges

Exploring Maximum and Minimum Values Given Integer Ranges

TGM Original Questions

Given that \(x\) and \(y\) are integers such that \(-4\le x\le 3\) and \(1\le y\le 5\), find

  1. the largest possible value of \(y-x\),
  2. the smallest possible value of \(\frac{x}{y}\),
  3. the least possible value of \({{x}^{2}}-{{y}^{2}}\).

Video Solution:

Video Solution

Video solution locked

A free account saves your progress; this video needs tuition enrolment.

Solution:

Solution locked

680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.

Create a free account to practise similar questions.

Answer:(i) 9; (ii) -4; (iii) -25.

Need help? Join our IP Math tuition programme.

Learn more