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Solve the inequalities and represent the solution graphically on number line. `2(x-1) lt (x+5),3(x+2)>2-x`.

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To solve the inequalities \(2(x-1) < (x+5)\) and \(3(x+2) > (2-x)\) step by step, follow the procedure below: ### Step 1: Solve the first inequality \(2(x-1) < (x+5)\) 1. Distribute the left side: \[ 2x - 2 < x + 5 \] ...
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