Answer:
3, -2, -1, 0, 1, 2, 3
Step-by-step explanation:
Given the inequality expression |x| < 4 where x is unknown. To her the possible values of x, we must undeterstand that the absolute value of a number returns both positive and negative value.
Hence |x| can either return +x or -x
If x is positive, the inequality expression will be x<4.
If the value of x is negative, then -x<4
From -x<4
Multiply both sides by minus sign will change the sense of the inequality sign.
-(-x) > -4
x>-4
If x is greater than -4, then -4<x.
Combining both inequality will give;
-4 < x and x<4
-4<x<4
Hence the possible values of Javier's number are integers between -4 and 4.
The values are -3, -2, -1, 0, 1, 2, 3.
