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

##### 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

### Related Questions

#### Solve each of the following in equations and represent the solution set on the number line

Solve each of the following in equations and represent the solution set on the number line $$\dfrac{5x}{4}-\dfrac{4x-1}{3}>1,$$ where x ϵ R.

#### Solve each of the following in equations and represent the solution set on the number line.

Solve each of the following in equations and represent the solution set on the number line.$$\dfrac{5x-8}{3}\geq \dfrac{4x-7}{2}$$, where x ϵ R.

#### Solve each of the following in equations and represent the solution set on the number line. 3 – 2x ≥ 4x – 9,

Solve each of the following in equations and represent the solution set on the number line. 3 – 2x ≥ 4x – 9, where x ϵ R.

#### Solve each of the following in equations and represent the solution set on the number line. 3x – 4 > x + 6

Solve each of the following in equations and represent the solution set on the number line. 3x – 4 > x + 6, where x ϵ R.