Solve the following system of equations in R.

$- 5 < 2 x - 3 < 5$

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Solution

Consider the first inequation,

-5<2x-3

2x-3>-5

2x>-5+3

2x>-2

x>-1 ...(i)

Consider the second inequation,

2x-3<5

2x<5+3

2x<8

x<4 ...(ii)

From (i) and (ii), $(- 1, 4)$ is the solution set of the simultaneous equations.

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