Solve the following inequalities and represent the solution graphically on number line: 3x – 7 2(x – 6), 6 – x 11 – 2x

Question

Solve the following inequalities and represent the solution graphically on number line: 3x – 7 > 2(x – 6), 6 – x > 11 – 2x

Philoid · Accepted Answer

Given inequalities 3x – 7 > 2(x – 6) and 6 – x > 11 – 2x

3x – 7 > 2(x – 6)

⇒ 3x – 7 > 2x – 12

⇒ 3x – 2x > 7 – 12

⇒ x > -5 …………(I)

6 – x > 11 – 2x

⇒ 2x – x > 11 – 6

⇒ x > 5 ……….(II)

From (I) and (II) we conclude that solution of given inequalities is (5, ∞).