Let's Meet in #1

Level pending

Let a a and b b ( a < b ) (a < b) be constants such that for any real number m m satisfying a < m < b a < m < b , the two lines y = − 2 x + 2 , y = m x − 2 m + 4 y=-2x+2, \;\; y=mx-2m+4 intersect in the first quadrant. What is the largest possible value of b − a b-a ?

2 2 4 4 3 3 1 1

Ajay Dutta by Ajay Dutta , 24, India

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