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Algebra Level 4

x 2 − ( m − 3 ) x + m > 0 \large x^2-(m-3)x+m>0

If the range of m m for which the above inequality is true for x ∈ [ 1 , 2 ] x\in [1,2] is ( − ∞ , a ) (-\infty,a) , then find a a .


The answer is 10.

Akshat Sharda by Akshat Sharda , 21, India

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1 solution

put the limiting value of x for the given expression i.e. 2 you will get m<10 which is the answer...........................

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