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## KaylaRdz0405 one year ago What are the integer solutions of the inequality |x| < 4? A. –3, –2, –1, 0, 1, 2, and 3 B. 0, 1, 2, and 3 C. 0, 1, 2, 3, and 4 D. –4, –3, –2, –1, 0, 1, 2, 3, and 4

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1. KaylaRdz0405

is it a

2. KaylaRdz0405

@limecake08

3. KaylaRdz0405

@BishopPatton

4. KaylaRdz0405

@pooja195

5. KaylaRdz0405

@AmberAlexis

6. freckles

|x|<4 means that we want to find all x such that x's distance from 0 has a distance less than 4 so of the following numbers which have a distance less than 4 from 0: ...,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,...?

7. KaylaRdz0405

-6,-5,-4,-3,-2,-1,0,1,2,3

8. freckles

the distance from -6 to 0 is 6 and 6 is greater than 4 so -6 will not work what about -5 and -4?

9. KaylaRdz0405

no that wouldnt work either right

10. freckles

right because both of those have distances either equal to or greater than 4 from 0

11. freckles

-3,-2,-1,0,1,2,3 all have a distance from 0 that is less than 4

12. KaylaRdz0405

ok yes i got that

13. freckles

in other words all of the following inequalities are true: |-3|<4 |-2|<4 |-1|<4 |0|<4 |1|<4 |2|<4 |3|<4

14. KaylaRdz0405

so then my answer is a

15. freckles

right and your question definitily isn't $|x| \le 4 \text{ right? }$

16. freckles

because that equal part will make a little difference

17. KaylaRdz0405

yes

18. freckles

ok cool stuff if it was find all integer x such |x|<=4 you include all of the answers we already found plus -4 and 4

19. KaylaRdz0405

yeah well thanks for the help

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