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

Asked by Pragya Singh | 1 year ago |  139

1 Answer

Solution :-

According to the question,

The inequalities given are,

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 equations (i) and (ii),

We can infer that the solution of given inequalities is (5, ∞).

Answered by Abhisek | 1 year ago

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