Answer:
[tex]x>\frac{5}{16}[/tex]
Step-by-step explanation:
We will assume that this inequality is:
5(x+5) < 85x
** The solutions shown, in this case, doesn't hold true. But nonetheless, I will solve for the inequality shown and give the true answer.
THe left side of the inequality can be simplified using the distributive property, which is:
a(b+c) = ab + ac
Then we normally do algebra (variables to one side and numbers to another) and solve for the solution set. The process is shown below:
[tex]5(x+5)<85x\\5x+25<85x\\25<80x\\\frac{25}{80}<x\\\frac{5}{16}<x[/tex]
so x is greater than 5/16.
[tex]x>\frac{5}{16}[/tex]
