Question

-What is the solution set for - 2x - 6 < 5x - 3?A. x < 3/7B. r> 3/7C. x <- 317D. r>- 3/7

Answer 1

Let's find the value for x in the next inequality:

`-2x-6\text{ < 5x-3}`

Add both sides 6:

`-2x-6+6<5x-3+6`
`-2x<5x+3`

Now, subtract both sides by 5x

`-2x-5x<5x-5x+3`
`-7x<3`

Multiply both sides by -1

When we multiply by a negative number, the inequality changes. In this case from "<" to ">".

Therefore:

`(-1)(-7x)<(-1)(3)`
`7x<-3`

Finally, divide both sides by 7

`(7x)/(7)>(-3)/(7)`
`x<(-3)/(7)`