Question

What’s the answer for this equation -3 < 2x - 3 < 5

Answer 1

0 < x < 4

Step-by-step explanation

To solve this inequality, first, we have to add 3 to all sides,

`\begin{gathered} -3+3\lt2x-3+3\lt5+3 \\ \\ 0\lt2x\lt8 \end{gathered}`

And then, divide by 2,

`\begin{gathered} (0)/(2)\lt(2x)/(2)\lt(8)/(2) \\ \\ 0\lt x\lt4 \end{gathered}`

Hence, the set of solutions is 0 < x < 4.