Answer:
(-∞,-5)∪(-1,∞)
Step-by-step explanation:
1. You have the compound inequality given in the problem above:
[tex]4+k>3[/tex] or [tex]6k<-30[/tex]
2. First, you must solve for [tex]k[/tex], as following:
[tex]4+k>3\\k>3-4\\k>-1[/tex]
[tex]6k<-30\\k<\frac{-30}{6}\\k<-5[/tex]
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.
