Question

Solve the inequality algebraically. Express your answer using set notation or interval notation. -6<3x-4<0

Answer 1

Step-by-step explanation

Given the inequality

`-6<3x-4<0`

We can find its solution below.

`\begin{gathered} -6<3x-4<0 \\ \mathrm{If}\:a<u>-(2)/(3) \\ also;3x-4<0\Rightarrow3x<4\Rightarrow x<(4)/(3) \end{gathered}`

Therefore; we will combine the intervals;

`x>-(2)/(3)\quad\mathrm{and}\quad\:x<(4)/(3)\Rightarrow-(2)/(3)<strong>Answer: Interval Notation</strong>[tex]\left(-(2)/(3),\:(4)/(3)\right)`