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Solve the Following Linear In-equation and Graph the Solution Set on a Real Number Line: - Mathematics

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प्रश्न

Solve the following linear in-equation and graph the solution set on a real number line: 

2x - 7 < 5x + 2 ≤ 3x + 14, x ∈ R  

योग

उत्तर

2x - 7 < 5x + 2

2x - 5x < 2 + 7

-3x < 9

x > -3

and 

5x + 2 ≤ 3x + 14

5x - 3x ≤ 14 - 2

2x ≤ 12

x ≤ 6

Solution set = [-3 < x ≤ 6]

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Representation of Solution on the Number Line
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Linear Inequations - Exercise 5.1 [पृष्ठ ७५]

APPEARS IN

फ्रैंक Mathematics - Part 2 [English] Class 10 ICSE
अध्याय 5 Linear Inequations
Exercise 5.1 | Q 13.05 | पृष्ठ ७५
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