Respuesta :

Given

inequality

0.08x - 0.6 < 0.01x + 0.9

Find

Solution of the inequality

Explanation

[tex]\begin{gathered} 0.08x-0.6<0.01x+0.9 \\ 0.08x-0.01x<0.9+0.6 \\ 0.07x<1.5 \\ x<\frac{1.5}{0.07} \\ \\ x<\frac{150}{7} \\ \end{gathered}[/tex]

Interval notation

[tex]\begin{gathered} (-\infty,\frac{150}{7}) \\ or \\ (-\infty,21.428) \end{gathered}[/tex]

Final Answer

Therefore ,the solution in interval notation is

[tex]\begin{gathered} (-\infty,\frac{150}{7}) \\ or \\ (-\infty,21.428) \end{gathered}[/tex]