Question

REINFORCE Continue to analyze the function y=|x+1| a. Write the expression |x+1| without absolute value signs, as you did in questions 17 . 19.

Answer 1

To write the expression |x+1| without absolute value signs, we consider two cases: when x+1 is greater than or equal to 0, and when x+1 is less than 0.

Step-by-step explanation:

To write the expression |x+1| without absolute value signs, we can consider two cases:

Case 1: If x+1 is greater than or equal to 0, then |x+1| is equal to x+1. So, |x+1| can be written as (x+1).

Case 2: If x+1 is less than 0, then |x+1| is equal to -(x+1). So, |x+1| can be written as -(x+1).

Therefore, the expression |x+1| without absolute value signs is:

(x+1) for x ≥ -1

-(x+1) for x < -1