## Kitten_is_back one year ago Numbers p and q are negative integers. Which statements are always true? Choose all answers that are correct. A. p + q is a negative integer B. p • q is a positive integer C. p – q is a negative integer D. is a negative integer a b d

1. Kitten_is_back

@H3LPN33DED

2. Photon336

p and q are negative numbers whenever we have two negative numbers multiplied by each other (product we get a positive number) $-p \times -q = pq$

3. Photon336

integer means whole number like 1,2,3, ... {n} @Kitten_is_back

4. Kitten_is_back

okay so its b

5. Photon336

$-p+-q = -n$ whenever we have two negative numbers added to each other the result will always be a negative number. |dw:1442776117459:dw|

6. Photon336

@Kitten_is_back there's more than one answer answer choice D they never told you whether d is negative or positive so how would you know? also for C why would you think that C may not be correct?

7. Kitten_is_back

i think c b d ;-;

8. Kitten_is_back

@Photon336

9. Photon336

@Kitten_is_back see my explanation for A you can actually test this out yourself by plugging numbers in for p and q. say p is -2 and q is -1 if you add them -2+-1 you'll get -3. D, how would you know the answer for this if they didn't tell you whether d is positive or negative. for C you are told that they are negative numbers but you don't know whether is more negative than Q let's test this out say if p-q is negative right? let's say if p is -3 and q is - 2 and then let's switch them in the second example $-3-(-2) = -1$ $(-2)-(-3) =$ what pattern do you see?

10. Kitten_is_back

kind offfff

11. Kitten_is_back

YES

12. Photon336

could you tell me what you see?

13. Photon336

@Kitten_is_back

14. Kitten_is_back

mhm subtion works and divdsiomn

15. Photon336

You can test these claims @Kitten_is_back by plugging in any whole numbers, integers, and seeing if the claim works

16. Photon336

It must work in every case, if it doesn't then the claim made is wrong

17. Photon336

Question for you could you tell me whether this is true or not? by plugging in numbers for -a and -b $-a*-b = ?$

18. Kitten_is_back

true

19. Photon336

good, the best way to test these claims is to see whether or not you can make them false. clearly if I put in any negative integer for both this will always be positive hopefully this helped

20. Kitten_is_back

oho kay