If (x, y) is a variable point on the line y =2x lying between the lines 2(x + 1) +y=0 and x + 3(y - 1)=0, then

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x∈(−1/2,6/7)

x∈(−1/2,3/7)

y∈(−1,3/7)

y∈(−1,6/7)

answer is B.

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Detailed Solution

Solving y=2x,2(x + l) + y: 0, we get x =-1/2,y = -1. Solvingy = 2x, x + 3(y- 1) = 0, we get x = 3/7, y = 6/7

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