Question

A number is less than 20 units away from 7 on the number line.

Answer 1

-13 < x < 27

Therefore, the number is greater than -13 and less than 27.

Explanation:

1. Set up the inequility

|x - 7| < 20

2. Set up compound inequility

-20 < x - 7 < 20

3. Solve compound inequility

-20 + 7 < x < 20 + 7

-13 < x < 27

Therefore, the number is greater than -13 and less than 27.