Solve $∣2 x - 1∣ = 5$ .

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A sum of $1000$ euros earns compound interest of $10%$ per year. What is the amount after $2$ years?
A price of $100$ euros is reduced by $20%$ and the new price is then increased by $20%$ . What is the final price?
The function $f (x) = x^{3} - 3 x$ has a local minimum at which value of $x$ ?
What is the sum of the interior angles of a hexagon?
The tangent to the parabola $y = x^{2}$ at the point where $x = 3$ meets the $x$ -axis. At what $x$ -value?
What is the area of the region enclosed by the graphs of $y = x^{2}$ and $y = x$ ?