Question

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

Answer 1

is it a

Answer 2

@limecake08

Answer 3

@BishopPatton

Answer 4

@pooja195

Answer 5

@AmberAlexis

Answer 6

|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,...?

Answer 7

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

Answer 8

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

Answer 9

no that wouldnt work either right

Answer 10

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

Answer 11

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

Answer 12

ok yes i got that

Answer 13

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

Answer 14

so then my answer is a

Answer 15

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

Answer 16

because that equal part will make a little difference

Answer 17

yes

Answer 18

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

Answer 19

yeah well thanks for the help