Answer
(a) A
(b) A
(c) B
(d) B
Work Step by Step
(a)
We know that two negatives cancel, so:
$-(-4)=4$
This corresponds to choice A.
(b)
We know that an absolute value makes numbers positive, so:
$|-4|=4$
This corresponds to choice A.
(c) Based on the previous result, we have:
$-|-4|=-(4)=-4$
This corresponds to choice B.
(d)
Combining previous results, we get:
$-|-(-4)|=-|4|=-4$
This corresponds to choice B.