# Let's Meet in #1

Level pending

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

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