The interval in which the solution set to [tex]0.35x - 4.8 < 5.2 - 0.9x[/tex] lies is [tex](-\infty, 8)[/tex]
Given Inequality is:
[tex]0.35x - 4.8 < 5.2 - 0.9x[/tex]
Grouping the terms of x coefficients and constants
⇒ [tex]0.35x + 0.9x < 5.2 + 4.8[/tex]
Adding the terms of LHS and RHS
⇒ [tex]1.25x < 10[/tex]
⇒[tex]x < 10 / 1.25[/tex]
[tex]\dfrac{10}{ 1.25 }= 8[/tex]
[tex]x < 8[/tex]
Therefore, the interval in which the solution set to [tex]0.35x - 4.8 < 5.2 - 0.9x[/tex] lies is [tex](-\infty, 8)[/tex].
Learn more about inequality here:
https://brainly.com/question/15137133
