# Solve each of the following system of equations in R. 20. −5 < 2x − 3 < 5

Question:

Solve each of the following system of equations in R.

20. −5 < 2x − 3 < 5

Solution:

$-5<2 x-3<5$

$\Rightarrow-5+3<2 x<5+3 \quad$ (Adding 3 throughout)

$\Rightarrow-2<2 x<8$

$\Rightarrow-1$\Rightarrow x \in(-1,4)\$

Hence, the interval (-1,4) is the solution of the given set of inequaltions.