# Solve and Graph the Solution Set on a Number Line: 5x + 4 > 8x – 11 ; X ∈ Z - Mathematics

Sum

Solve and graph the solution set on a number line: 5x + 4 > 8x – 11 ; x ∈ Z

#### Solution

5x + 4 > 8x – 11

⇒ 5x - 5x + 4 > 8x - 5x - 11 ..(Subtracting 5x from both sides)

⇒ 4 > 3x - 11

⇒ 4 + 11 > 3x - 11 + 11  ...(Adding 11 to both sides)

⇒ 15 > 3x

⇒ 15/3 > "3x"/3  ...(Dividing both sides by 3)

⇒ 5 > x

∴ The required graph is:

Concept: Operation on of Whole Number on Number Line
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 15 Linear Inequations
Exercise 15 (B) | Q 7 | Page 175