Given:
The graph of a compound inequality is given.
To find:
The compound inequality.
Solution:
From the given graph it is clear that an arrow approaches towards left from [tex]x=-2[/tex] and there is an open circle at [tex]x=-2[/tex].
It means all the values less than [tex]-2[/tex] are included in the solution set but [tex]x=-2[/tex] is not included.
[tex]x<-2[/tex] ...(i)
An arrow approaches towards right from [tex]x=4[/tex] and there is a closed circle at [tex]x=4[/tex].
It means all the values greater than of equal to 4 are included in the solution set and [tex]x=4[/tex] is also included.
[tex]x\geq 4[/tex] ...(ii)
Using (i) and (ii), we get the compound inequality.
[tex]x<-2[/tex] or [tex]x\geq 4[/tex]
Therefore, the correct option is C.
