# Solve the inequation:2|x + 3| > 1 - Mathematics and Statistics

Sum

Solve the inequation:
2|x + 3| > 1

#### Solution

2|x + 3| > 1
Dividing by 2 on both sides, we get
|"x" + 3| > 1/2 Now, |x| > k implies x < – k or x > k

∴ ("x" + 3) < -1/2 or ("x" + 3) > 1/2 Subtracting 3 from both sides, we get

∴ "x" < (-1)/2 - 3 or "x" > 1/2 - 3

∴ "x" < (-1 - 6)/2 or "x" > (1 - 6)/2

∴ "x" < (-7)/2 or "x" > (-5)/2

∴ x can take all real values less (-7)/2 or it can take values greater than (-5)/2

∴ Solution set is (−∞,-7/2)∪(-5/2,∞)

Concept: Graphical Representation of Solution of Linear Inequality in One Variable
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#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 8 Linear Inequations
Exercise 8.1 | Q 4. (ix) | Page 116