Question

Answer fast please!

Which represents the solution set of 5(x + 5)<85x
A. x<12
B. x>12
C. x<16
D. x>16

Answer 1

`x>(5)/(16)`

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:

`5(x+5)<85x\\5x+25<85x\\25<80x\\(25)/(80)<x\\(5)/(16)<x`

so x is greater than 5/16.

`x>(5)/(16)`