KaylaRdz0405
  • KaylaRdz0405
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
Mathematics
katieb
  • katieb
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KaylaRdz0405
  • KaylaRdz0405
is it a
KaylaRdz0405
  • KaylaRdz0405
KaylaRdz0405
  • KaylaRdz0405

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KaylaRdz0405
  • KaylaRdz0405
KaylaRdz0405
  • KaylaRdz0405
freckles
  • 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,...?
KaylaRdz0405
  • KaylaRdz0405
-6,-5,-4,-3,-2,-1,0,1,2,3
freckles
  • 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?
KaylaRdz0405
  • KaylaRdz0405
no that wouldnt work either right
freckles
  • freckles
right because both of those have distances either equal to or greater than 4 from 0
freckles
  • freckles
-3,-2,-1,0,1,2,3 all have a distance from 0 that is less than 4
KaylaRdz0405
  • KaylaRdz0405
ok yes i got that
freckles
  • 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
KaylaRdz0405
  • KaylaRdz0405
so then my answer is a
freckles
  • freckles
right and your question definitily isn't \[|x| \le 4 \text{ right? }\]
freckles
  • freckles
because that equal part will make a little difference
KaylaRdz0405
  • KaylaRdz0405
yes
freckles
  • 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
KaylaRdz0405
  • KaylaRdz0405
yeah well thanks for the help

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