Question

What is the solution to the inequality? 5x+10<-5

Answer 1

Hello!

The answer is:
`x<-3`

Why?

Finding solutions to inequalities works in the same way that finding solutions for equalities. The difference between an equality and inequality is that the second can establish a relationship between numbers and constants, where a variable can be greater or less than a number or another variable.

So, finding the solution, we have:

`5x+10=-5\\5x=-5-10\\5x=-15\\x=(-15)/(5)=-3`

hence, the solution to the inequality is:

`x<-3`

Have a nice day!

Answer 2

x < -3

Explanation:

5x+10<-5

Subtract 10 from each side

5x+10-10<-5-10

5x < -15

Divide by 5

5x/5 < -15/5

x < -3