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Question

A number line is shown below. The numbers 0 and 1 are marked on the line, as are two other numbers a and b.

Number_line_3570b0602c005681af99ba4d3d054aa4

Which of the following number(s) is/are negative?



Your Answer
A
-b
Correct Answer
B
a - 2
Your Answer
C
a - 1
Correct Answer
D
a+b

Solution

The correct options are
B a - 2
D a+b
a is greater than 1, so a−1 is positive.

The distance between a and 1 appears to be less than the distance between 1 and 0, so it looks like a is less than 2. Thus a − 2 is negative.

b is negative, so −b is positive.

The distance between a and 0 appears to be less than the distance between b and 0, so it looks like |a| is less than |b|. Since b is negative and a is positive, a + b is negative.

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