Posted by **dgibson** on Sunday, September 3, 2006 at 5:44pm.

If we multiply "a" and "b",when will:

a. the product be larger than both "a" and "b"?

b. the Product be less than "a"?

c. the product be less than "b"?

d. the product be less than"a" and "b"?

e. the product be greater than "a"?

f. the product be greater than "b"?

g. the product be greater than "a" and "b"?

h. the product be equal to either "a" and "b"?

i. the product be zero?

I suppose what you mean by "If we multiply "a" and "b..." is the product ab of a and b.

a) We want a<ab and b<ab

Consider when they have the same sign or different signs. If a and b are pos., then both a>1 and b>1

If both are neg., then a<ab and b<ab hold for all a,b negative.

If they have different signs then

a<ab or b<ab will not hold for one of them because ab<0 but one is greater than 0. Therefore the empty set with different signs.

All of the rest are along the same lines, except i). They can both be 0, but at least one of a,b must be 0.

Show some work so we can see where the difficulties are. I don't see how it helps if I do all of them. There are a lot of cases to consider, so you need to check your work carefully.

## Answer This Question

## Related Questions

- Macroeconomic - Suppose that a market for a product is in equilibrium at a ...
- math - Find the two numbers that multiply to the product number and add to the ...
- Managerial Accounting - The overhead rate for materials handling is $10 per part...
- economics - Assume that demand for product A can be expressed as QA = 500 ¨C 5PA...
- bryce - can someone help me write out these expressions? 4 more than p: product ...
- Physics - 2. We have two vectors that line in the x-y plane. If we take the ...
- algebra 1 - Which statement about the product is true? 7.56*6.7 ̅? a)the ...
- math - i am 11 less than the product of 7 and 5. i am 5 more than the product of...
- Accounting - Cambridge Manufacturing Company, Inc. has 200 labor-hours available...
- retail pharmacy assistant - when a customer askes for a product by name the ...

More Related Questions