Question

Solve the compound inequality. Graph your solution using a number line. Please help.

4+k>3 or 6k<-30

Thanks!

Answer 1

(-∞,-5)∪(-1,∞)

Explanation:

1. You have the compound inequality given in the problem above:

`4+k>3` or
`6k<-30`

2. First, you must solve for
`k`, as following:

`4+k>3\\k>3-4\\k>-1`

`6k<-30\\k<(-30)/(6)\\k<-5`

3. Then, the solution is:

(-∞,-5)∪(-1,∞)

5. You can pose the solution in the number line, as it is shown in the graph attached.