Need helpppppppppppp

Answer:
Choice D is correct
Step-by-step explanation:
We have been given the expression;
[tex]21\leq-3(x-4)<30[/tex]
The first step is to open the brackets using the distributive property;
-3(x-4) = -3x + 12
Now we have;
[tex]21\leq-3x+12<30\\\\21-12\leq-3x+12-12<30-12\\ \\9\leq-3x<18\\\\\frac{9}{-3}\geq x>\frac{18}{-3}\\\\-6<x\leq-3[/tex]