Answer:
B, D
Explanation:
You want to know the statements applicable to the number line with A=-2, B=1, and C=6.
A. Length of AB
The length of AB is |B -A| = |1 -(-2)| = |3| = 3. It is not -3.
B. d(B, C)
d(B, C) = |C -B| = |6 -1|. This statement is true.
C. AB +AC
AB +AC = BC resolves to |B -A| +|C -A| = |C -B|, or ...
|1 -(-2)| +|6 -(-2)| = |6 -1|
|3| +|8| = |5| . . . . . false
D. AB +BC
AB +BC = AC resolves to |B -A| +|C -B| = |C -A|
|1 -(-2)| +|6 -1| = |6 -(-2)|
|3| +|5| = |8|. This statement is true.
Statements B and D are true.
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