Welcome to Catalytic, a blog to share questions about Education. This time we will answer questions and at the same time we will discuss the following questions: Solution set of |2x – 3| + 2 = 9 is

Daftar Isi

### Discussion Details

If |u| = a, then

- u = –a for u < 0
- u = a for u ≥ 0

Also, both sides can be squared to remove the sign score absolutely.

**Way to one**

|2x – 3| + 2 = 9

|2x – 3| = 9 – 2

|2x – 3| = 7

**The second way**

2x – 3 = -7 or 2x – 3 = 7

2x = -7 + 3 or 2x = 7 + 3

2x = -4 or 2x = 10

x = -2 or x = 5

**HP Gained = {-2, 5}**

**The Second Way (squaring)**

(2x – 3)² = 7²

(2x – 3)(2x – 3) = 7²

4x² – 6x – 6x + 9 = 49

4x² – 12x + 9 = 49

4x² – 12x + 9 – 49 = 0

4x² – 12x – 40 = 0

**Simplify by dividing both sides by 4.**

x² – 3x – 10 = 0

**Factor**.

(x – 5)(x + 2) = 0

Obtained x = 5 or x = -2

**Obtained HP = {-2, 5}.**

### Answer details

**Class :** X

**Course :** Mathematics

**Chapter :** Linear Equations and Inequalities Absolute Value of One Variable

**Keywords :** Linear equation. inequality

This is the discussion that we have compiled from various sources by the Katalistiwa team. May be useful.