## State whether the following statements are true or false, Justify your answer. (1) The sum of a positive integer and a negative integer

Question

State whether the following statements are true or false, Justify your answer.
(1) The sum of a positive integer and a negative integer is always a positive integer.
(ii) The sum of two integers is always greater than their difference,
(iii) For any two integers a and b, the inequality -a <b is always true.
(iv) The product of two integers is always greater than the sum of the integers.​

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1 month 2021-08-18T06:31:45+00:00 2 Answers 0 views 0

(1) The sum of a positive integer and a negative integer is always a positive integer.  False

(-2) + 3 = 1

(-3) + 2 = (-1)

(ii) The sum of two integers is always greater than their difference,  True

(-3) + 2 = (-1)

(-3) – 2 = (-5)

(-1) > (-5)

(iii) For any two integers a and b, the inequality -a <b is always true.  True

(-2) < 3

(iv) The product of two integers is always greater than the sum of the integers.​ False

(-2) × 3 = (-6)

(-2) + 3 = 1

(-6) < 1

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2. Step-by-step explanation:

1. false

2. false

3. true

4. true