Question

Javier writes an integer on a piece of paper. The absolute value of his number is less than 4. Which is true of the possible values of Javier's number?

Answer 1

3, -2, -1, 0, 1, 2, 3

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.