# Solve the Following Inequalities and Represent the Solution Graphically on Number Line: 3x – 7 > 2(X – 6), 6 – X > 11 – 2x - Mathematics

Solve the following inequalities and represent the solution graphically on number line:

3x – 7 > 2(x – 6), 6 – x > 11 – 2x

#### Solution

3x – 7 > 2(x – 6)

⇒ 3x – 7 > 2x – 12

⇒ 3x – 2> – 12 + 7

⇒ x > –5 … (1)

6 – x > 11 – 2x

⇒ –x + 2x > 11 – 6

⇒ x > 5 … (2)

From (1) and (2), it can be concluded that the solution set for the given system of inequalities is (5, oo). The solution of the given system of inequalities can be represented on number line as

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#### APPEARS IN

NCERT Class 11 Mathematics Textbook
Chapter 6 Linear Inequalities
Q 9 | Page 132