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?
The possible values are less than 4.
The possible values are less than –4.
The possible values are less than 4 but greater than –4.
The possible values are either greater than 4 or less than –4.

Answer 1

Answer: The possible values are less than 4 but greater than –4.

Step-by-step explanation:

Given: Javier writes an integer on a piece of paper. The absolute value of his number is less than 4.

Let the integer written by Javier be x.

Thus, according to the given situation.,

$|x|>4$

⇒ x>4 and -x>4

⇒x>4 and x<-4 [by multiplying (-1) on both sides , the inequality reverse]

⇒-4<x<4

⇒The possible values are less than 4 but greater than –4.

Answer 2

The possible values are less than 4 but greater than –4.