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Question

Solve each of the following system of equations in R.

14. 5x-7<3x+3, 1-3x2x-4

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Solution

5x-7<3x+35x-7<3x+95x-3x<9+72x<16x<8x-,8 ... (i)Also, 1-3x2x-4x-41-3x2x+3x21+42x+3x255x10 x2 x(-,2] ... (ii)Hence, the solution of the given set of inequalities is the intersection of (i) and (ii).-,8(-,2]=(-,2]Hence, the solution of the given set of inequalities is (-,2].

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