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Question

Solve each of the following system of equations in R.

15. 2x-34-24x3-6, 22x+3<6x-2+10

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Solution

2x-34-24x3-62x-34-4x3-6+232x-3-16x12-46x-9-16x-48-10x-3910x39 Multiplying both sides by -1x3910x(-,3910] ... (i)Also, 22x+3< 6x-2+104x+6<6x-12+104x+6<6x-26x-2>4x+66x-4x>6+22x>8x>4 x4, ... (ii)Hence, the solution of the given set of inequalities is the intersection of (i) and (ii),(-,3910]4,= which is an empty set.Thus, there is no solution of the given set of inequations.

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