Question

Solve the inequality 0.08x - 0.6 < 0.01x + 0.9 and write the solution using: Interval Notation: Graph the solution below:

Answer 1

Given

inequality

0.08x - 0.6 < 0.01x + 0.9

Find

Solution of the inequality

Step-by-step explanation

`\begin{gathered} 0.08x-0.6<0.01x+0.9 \\ 0.08x-0.01x<0.9+0.6 \\ 0.07x<1.5 \\ x<(1.5)/(0.07) \\ \\ x<(150)/(7) \\ \end{gathered}`

Interval notation

`\begin{gathered} (-\infty,(150)/(7)) \\ or \\ (-\infty,21.428) \end{gathered}`

Final Answer

Therefore ,the solution in interval notation is

`\begin{gathered} (-\infty,(150)/(7)) \\ or \\ (-\infty,21.428) \end{gathered}`