Question

For all non- zero integers a and b, a*b is always greater than either a or b
True or false with explanation​

Answer 1

Answer: False

Step-by-step explanation:

If one integer is negative and other is positive then a*b is less than both integers

Answer 2

Question :

For all non- zero integers a and b, (a × b) is always greater than either a or b. True or False with explanation :

AnswEr :

• To Understand this assume two Situations

⋆ Situation 1

Let's assume a and b is Non - Zero Positive Integer Numbers. Take 2 as a and, 5 as b.

⇒ (a × b) = (2 × 5) = 10

We Can Clearly see that (a × b) i.e. 10 is Greater than Both the Numbers a and, b i.e. 2 and 5.

⋆ Situation 2

Let's assume a is Non - Zero Negative Integer Number i.e. - 1 and, b is Non - Zero Positive Integer Number i.e. 2

⇒ (a × b) = (-1 × 2) = - 2

The number -2 is less than -1, and it is also less than 2. Therefore, -1 × 2 is not greater than -1 or 2.

჻ Situation 2 Shows that this rule doesn't hold true for all Non - Zero Integers. Therefore, this is FALSE STATEMENT.