Answer 1

3x – 7 > 2(x – 6)

⇒ 3x – 7 > 2x – 12

⇒ 3x – 2x > – 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