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State true or false:

$− 8 − 3$ lies to the left of zero on the number line.

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True

False

answer is B.

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Detailed Solution

Given a statement,

− 8 − 3

lies to the left of zero on the number line.
We need to check whether the given statement is true or false.

− 8 − 3 = − 8 × − 1 − 3 × − 1 = 83

.
Therefore,

− 8 − 3

can be written as

83

.
To check whether

83

is greater than or equal to zero, write the number 0 in the form of rational number with denominator same as that of the given integer, i.e., 0 can be written as

03

.
So, comparing

03

and

83

The numbers greater than zero lies towards the right of the number line, while smaller than zero lies to the left of the number line.
Question Image

Hence,

83

which is greater than zero lies to the right of the number line.
Therefore, the statement is false.
Hence, 2 is the correct option.

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