Question

Solve the equations and graph the solution

Answer 1

Given:

The inequalities are:

`-5x<-3` or
`2x<-8`

To find:

The solution for the given inequalities and graph the solution.

Solution:

We have,

`-5x<-3` or
`2x<-8`

Solve the above inequalities separately.

`-5x<-3`

Divide both sides by -5.

`x>(-3)/(-5)`

`x>(3)/(5)` ...(i)

And,

`2x<-8`

Divide both sides by 2.

`x<(-8)/(2)`

`x<-4` ...(ii)

From (i) and (ii). we get

`x<-4` or
`x>(3)/(5)`

The interval notation of the solution is
`(-\infty,-4)\cup \left((3)/(5),\infty\right)`.

The graph of the solution is shown below.