Question

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Answer 1

Choice D is correct

Explanation:

We have been given the expression;

`21\leq-3(x-4)<30`

The first step is to open the brackets using the distributive property;

-3(x-4) = -3x + 12

Now we have;

`21\leq-3x+12<30\\\\21-12\leq-3x+12-12<30-12\\ \\9\leq-3x<18\\\\(9)/(-3)\geq x>(18)/(-3)\\\\-6<x\leq-3`