Question

121,73G₁y5. Given the following absolute value equation |x + a| = b, describe the value(s) of b that would yield 2 solutions. Explainyour reasoning.

Answer 1

Given

|x+a| = b

Find

Solutions of the given equation

Step-by-step explanation

|x+a| = b

In mod function 2 cases arises

1) x + a = b

2) x + a = -b

Solving these equations, we get

x = b - a

and

x = -b - a

Final Answer

The solutions of the given equation

b - a and -b - a