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.