Could someone please tell me if the following is true

a+b (a+b is in root) is defined for -b smaller and equal to a

The word "and" is wrong. It needs to be "or".

Can you see why?

This exercise is not worded as well as it could be, but I understand what they're trying to ask.

Consider the expression sqrt(*a* + *b*), where symbol *a* represents some positive number and symbol *b* represents a negative number. Is the following statement true or false?

sqrt(a + b) is defined when the absolute value of *b* is less than or equal to *a*.
Here's a hint to think about. In the Real number system, can we take the square root of a negative quantity?

For example, does the number sqrt(-16) exist, in the Real number system?

Here's another hint. What happens to the value of

*a*+

*b* when the absolute value of

*b* is greater than

*a*?

If you don't know the meaning of the phrases "absolute value" or "Real number system", let us know. We can explain the exercise a different way. :cool: