Which of the following statements are true and which are false?
(i) 
lies to the left of 0 on the number line.
(ii)
lies to the right of 0 on the number line.
(iii) The rational numbers
and
are on opposite sides of 0 on the number line.
(iv) The rational number
lies to the left of 0 on the number line.
(i) True
is a negative number.
All negative numbers are less than 0 and therefore, lie to the left of 0 on the number line.
Hence, 
lies to the left of 0 on the number line.
(iii) False
is a negative number.
All negative numbers are less than 0 and therefore, lie to the left of 0 on the number line.
Hence, 
lies to the left of 0 on the number line.
(iii)True
is a positive number.
All positive numbers are greater than 0 and therefore, lie to the right of 0 on the number line.
Hence, 
lies to the right of 0 on the number line.
is a negative number.
All negative numbers are less than 0 and therefore, lie to the left of 0 on the number line.
Hence, 
lies to the left of 0 on the number line.
Therefore, the rational numbers, 
and 
are on opposite sides of 0 on the number line.
(iv) False
is a positive number.
All positive numbers are greater than 0 and therefore, lie to the right of 0 on the number line.
Hence, 
lies to the right of 0 on the number line.
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(ii)
(iii)
(iv)
(vi)
(vii)
(viii)
(ii)
(iii)
(iv)
(vi)
(vii)
(viii)
and
(ii)
and
(iii)
and
and
(v)
and
(vi)
and
and
(ii)
and
(iii)
and
and
(v)
and
and
(vii)
and
and
(ix)
and