Respuesta :

Answer:

If a and b are either both positive integers or both negative integers

Step-by-step explanation:

If a and b are both positive integers (a>0 and b>0), then the product will obviously be a positive number. Additionally, if both terms are negative (a<0 and b<0), the product of two negative integers is positive and will satisfy the condition.

MrRoyal

Integers are numbers without decimal points.

The conditions that would make [tex]\mathbf{a \times b > 0}[/tex] are: a, b > 0 or a, b < 0

From the question, we have:

[tex]\mathbf{a \times b > 0}[/tex]

Divide both sides by a

[tex]\mathbf{b > 0}[/tex]

Divide both sides by b

[tex]\mathbf{a > 0}[/tex]

The above means that, for [tex]\mathbf{a \times b > 0}[/tex] to be true, then [tex]\mathbf{a > 0}[/tex] and [tex]\mathbf{b > 0}[/tex]

Another possible condition is that:

[tex]\mathbf{a \times b > 0}[/tex]

Divide both sides by -a

[tex]\mathbf{b<0}[/tex]

Divide both sides by -b

[tex]\mathbf{a<0}[/tex]

The above means that, for [tex]\mathbf{a \times b > 0}[/tex] to be true, then [tex]\mathbf{a<0}[/tex] and [tex]\mathbf{b<0}[/tex]

Hence, the condition that would make [tex]\mathbf{a \times b > 0}[/tex] true is that: a and b have the same sign

Read more about integers at:

https://brainly.com/question/18258950

Otras preguntas