exam Maths Puzzle Numerical Ability

Inequality Graphs,
how to sketch a graph for the following inequality: (x-2)(x-3)<0.

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exam Other Question

O is the midpoint of NP; NP = 3x + 4y , NO = 2x + 3y - 5, OP = 5x - y, FIND the lengths of NO,OP, and NP. May you please show work also.

N-----O-----P Solve, expressing answer in exact form.
[(e^x)^3 * (e^x)^2x] / e^5 = 1