Question

Which of the following statement/s is/are FALSE? I.The sum of two positive integers is also a positive integers. II.The sum of two negative integers is also a positive integers. III.The sum of opposite integers is zero. IV.The sum of a positive and a negative integer is always negative.

Answer 1

1) is true

2) is false

3) is false

4) is true

Answer 2

Given : Some statement about integers

To Find : True or False

I. The sum of two positive integers is also a positive integers.

II. The sum of two negative integers is also a positive integers.

III. The sum of opposite integers is zero.

IV. The sum of a positive and a negative integer is always negative.

Solution:

I. The sum of two positive integers is also a positive integers.   TRUE

For example  3 + 4 = 7

II. The sum of two negative integers is also a positive integers.   FALSE

The sum of two negative integers is  negative integer

-1 + (-2)  = - 3

III. The sum of opposite integers is zero.   TRUE

-2  + 2 = 0

IV. The sum of a positive and a negative integer is always negative.  FALSE

It can be positive or negative or zero

-2  + 3  = - 1

-3  + 2  =  1  

-2 + 2 = 0

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