# Thread: number problem

1. ## number problem

For which numbers, N, is N*2 greater than 2? On other words, for which numbers, N, is N*2>2?
Investigate this question as follows

A) Without using a calculator multiply 2 by the given numbers. show your work. In each case, determine whether the resulting product is greater than 2 or not.

2.85, 1.25, 0.95, 0.03, -0.7, -3.5
3 1/2, 1 1/8, 7/8, 2/5, -2/3, -2 3/4

B) Based on your answers in part (a) and on the meaning and rules of multiplication, describe the collection of all numbers, N, for which N*2 is greater than 2.

Thank you , I am sure its an easy problem to solve but my brain is fried cant figure this one out.

2. Half of 2 is 1, so trivially, any number greater than 1 will be greater than 2 when multiplied by 2.

3. If you need to show your work algebraically, then...

N*2>2

2N>2

N>1

4. Sean, for some reason I could not figure the B) part out. thank you

5. Originally Posted by recca
Sean, for some reason I could not figure the B) part out. thank you
Well the collection of numbers N, is all numbers greater than 1. Or were you looking for a formal description?

6. My professor wants a formal description. Thank you

7. N is greater than or equal to 2