Question

2. The set of inequalities of the absolute value | 2x + 5 | <9

Answer 1

Answer:

because

║x║ = √x²

so for example

║ax + b║ = √ (ax + b) ²

for this case

║2x + 5║ = √ (2x + 5) ²

Step-by-step explanation:

// because the two positive segments are squared //

║2x + 5║ <9

√ (2x + 5 )² <9  

(2x + 5 )² <9²

4x² + 20x + 25-81 <0

4x² + 20x-56 <0

x² + 5x-14 <0

(x + 7) (x-2) <0

// so the zero maker //

x + 7 = 0  

x = -7

x-2 = 0

x = 2

// settlement set //

because -7 <2

HP = {- 7 <x <2}