Question

15. State whether the following statements are true (T) or false (F):
(i) O is the smallest positive integer. (ii) Every negative integer is less than every natural number. (iii) — 7 is to the right of -6 on the number line. (iv) The absolute value of an
integer is always greater than the integer.​

Answer 1

Answer:

1) true

2)false

3)false

4)true is the correct answer

Answer 2

Answer:

(i) O is the smallest positive integer. False

(ii) Every negative integer is less than every natural number.  - True

(iii) — 7 is to the right of -6 on the number line. - False

(iv) The absolute value of an integer is always greater than the integer.​- False

Step-by-step explanation:

(i) The number 1 is the smallest positive integer. So, O is the smallest positive integer is a false statement.

(ii) 0 is less than every positive integer and greater than every negative integer. So, Every negative integer is less than every natural number.

(iii) -7 is on the left side of -6 on the number line. So, — 7 is to the right of -6 on the number line is a false statement.

(iv) The absolute value of an integer is greater than or equal to the value of the integer. So, the absolute value of an integer is always greater than the integer is a false statement.

Example: $|-1| = 1 and |1|= 1$​