Question

Of the two integers, if one is negative, then their product must be negative. TRUE OR FALSE

Answer 1

Answer:

Step-by-step explanation:

FALSE

(- 2) × (- 1) = 2 > 0

Answer 2

Concept:

We know that, product of two negative numbers or mathematical quantities gives a positive number or mathematical quantity.

Similarly, product of one negative and one positive numbers or mathematical quantities gives a negative number or mathematical quantity.

Given:

"Of the two integers, if one is negative, then their product must be negative." is the statement which we have to examine.

Find:

We have to find the above mentioned statement is true.

Solution:

One integer is negative.

Now the product will be positive if the another one is negative and will be negative if another is positive.

For example,

If the first negative integer be = -2

and another one be = -3

then product is = (-2)*(-3) = 6, which is not a negative.

So when another integer is also negative then product is positive.

Hence the statement mentioned in the question "Of the two integers, if one is negative, then their product must be negative" is FALSE.

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