Question

On a number line, points A, B, C are such that d(A, C) =10, d(C, B) =8 find d(A, B) considering all possibilities.
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Answer 1

Answer:

d(A, C) =10,

d(C, B) =8

therefore d(A,B)=2

d(A, B)=2

On a number line, points A, B, C are such that d(A, C) =10, d(C, B) =8 find d(A, B) considering all possibilities.

Step-by-step explanation:

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Answer 2

Answer:

There are only two possibilities.

Case 1: When point C is between

the points A and B.

B

We have, d(A, C) = 10; d(C, B) = 8 Now, d(A, B) = d(A, C) + d(C, B) = 10 +8

..d(A, B) = 18

Case 2: When point B is between the points A and C.

B

We have, d(A, C) = 10; d(C, B) = 8 Now, d(A, C) = d(A, B) + d(B, C) So, d(A, B) = d(A, C)-d(B, C) = 10

8

... d(A, B) = 2