Question

Neetu said that the sum of −8+d is always positive when the value of d is greater than 0.

• Is Neetu’s statement always true, sometimes true or never true?

Answer 1

neetu's statement is sometimes true

Explanation:

We are told that Neetu said the sum of −8 + d is always positive when the value of d is greater than 0.

Values of d that are greater than zero is a set of positive real numbers like 1,2,3....

Now, using d = 1, we will get;

-8 + 1 = -7

We can see that we got a negative number.

Using d = 2,we have; -8 + 2 = - 6

Again we got a negative number.

Now, by inspection, we will keep getting negative numbers until d = 7.

Thus, neetu's statement is not true for 0 < d < 8

Now,let's try d above 8. Let's use d = 9.

-8 + 9 = 1

This means from d > 8 and above we have the results as positive. Thus, neetu's statement is always true for d > 8

In summary, neetu's statement is sometimes true