Question

What are the integer solutions of the inequality |x| < 2 ?









A.
2 only







B.

2, 1, 0, –1, and –2








C.

1, 0, and –1








D.

2 and –2

Answer 1

b think its b

Answer 2

\(|x|\) can be written as \(|x - 0|\)

\(|a - b| \) means the distance between numbers a and b on the number line.

That means that \(|x - 0|\) means the distance between x and zero on the number line.

Your question is only about integers, so \(|x - 0| \lt 2\) can be interpreted as which integers are less than 2 units distance from zero on a number line?

Answer 3

Notice the sign is \(\lt\), not \(\le\), so numbers exactly 2 units from zero are not included in the solution.