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'Unit Interval' printed from https://nrich.maths.org/
Why do this problem?
The problem gives practice in solving linear and quadratic
inequalities.
Possible approach
Use this as a lesson starter. If learners do not know how to start
let them use the Hint.
Then discuss the problem as a class but try to elicit ideas from
the learners themselves.
Key questions
How do we make use of the information given?
If we are not making progress, then have we used all the
information given?