Answer: [tex](-\infty, 8)[/tex]
Step-by-step explanation:
Given the following inequality:
[tex]0.35x - 4.8 < 5.2 -0.9x[/tex]
You need to solve for "x" in order to find the solution.
The steps are:
1. Add [tex]0.9x[/tex] to both sides of the inequality:
[tex]0.35x - 4.8+0.9x < 5.2 -0.9x+0.9x\\\\1.25x-4.8<5.2[/tex]
2. Add [tex]4.8[/tex] to both sides:
[tex]1.25x-4.8+4.8<5.2+4.8\\\\1.25x<10[/tex]
3. Divide both sides by [tex]1.25[/tex]:
[tex]\frac{1.25x}{1.25}<\frac{10}{1.25}\\\\x<8[/tex]
Notice that "x" is less than 8. This indicates that 8 is not included in the solution and you must use parentheses.
The solution in Interval notation is:
[tex](-\infty, 8)[/tex]
