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songoku
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Homework Statement
consider two conditions x2-3x-10 < 0 and |x-2| < A on a real number x, where A is positive real number
(i) find the range of values of A such that |x-2| < A is a necessary condition for x2-3x-10 < 0
(ii) find the range of values of A such that |x-2| < A is a sufficient condition for x2-3x-10 < 0
Homework Equations
The Attempt at a Solution
what is necessary and sufficient condition? I tried googling but found nothing about it...
thanks