First, let us find the solution to the inequality
[tex]\frac{1}{3}x-2<-4[/tex]by adding 2 to both sides we get
[tex]\frac{1}{3}x<-2[/tex]multiplying both sides by 3 gives
[tex]x<-6[/tex]Hence, the solution is x less than -6, meaning all values below -6 are the solutions; therefore the right choice is D.
