exam Maths Puzzle Numerical Ability

square root of x plus the square root of 1/x equals?

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IS it possible to draw a quadrilateral so that all sides have positive slopes.If so do it if not explain why not. This problem is not from my textbook it is a worksheet problem.
Identify the solution set for the inequality.
x2+4x<2x+8
The answer choices are
(-4,2)
(2,4)
(-oo,-4) u (2,oo)
[-4, 2]