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Question

Solve each of the following system of equations in R.

6. 2x − 3 < 7, 2x > −4

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Solution

2x-3<72x<7+3x<5x-, 5 ...(i)Also, 2x>-4x>-2 x-2, ...(ii)Thus, the solution of the given set of inequalities is the intersection of (i) and (ii).-, 5 -2,=-2,5Thus, the solution of the given set of inequalities is -2,5.

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