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NCERT Textbook
LINEAR INEQUALITIES

Class 11
Maths :-NCERT Solutions - Linear Inequalities.

Page No 122:
Question 5:
Solve the given inequality for real x: 4x + 3 < 5x + 7


Answer:


4x + 3 < 5x + 7
⇒ 4x + 3 – 7 < 5x + 7 – 7
⇒ 4x – 4 < 5x
⇒ 4x – 4 – 4x < 5x – 4x
⇒ –4 < x
Thus, all real numbers x,which are greater than –4, are the solutions of the given inequality.
Hence, the solution set of the given inequality is (–4, ∞)


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NCERT Maths Class 11

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