Question

Solve for "x":3x - 5 < -14 or 2x - 1 > 7

Answer 1

We are given the following inequalities:

`\begin{gathered} 3x-5<-14,(1)\text{ or} \\ 2x-1>7,(2) \end{gathered}`

First, we will solve for inequality 1. To do that we will add 5 to both sides:

`3x-5+5<-14+5`

Solving the operations:

`3x<-9`

Now we divide both sides by 3:

`(3x)/(3)<-(9)/(3)`

Solving the operations:

`x<-3`

Now we solve for "x" in inequality (2). To do this we will add 1 to both sides:

`2x-1+1>7+1`

Solving the operations:

`2x>8`

Now we divide both sides by 2:

`(2x)/(2)>(8)/(2)`

Solving the operations:

`x>4`

Therefore, the solution to the system is:

`x<-3\text{ or x > 4}`