x + 5 > 4x – 10

Asked by Aaryan | 1 year ago |  83

1 Answer

Solution :-

Given: x + 5 > 4x – 10

x + 5 – 5 > 4x – 10 – 5

x > 4x – 15

4x – 15 < x

4x – 15 – x < x – x

3x – 15 < 0

3x – 15 + 15 < 0 + 15

3x < 15

Divide both sides by 3, we get

\( \dfrac{3x}{3} < \dfrac{15}{3}\)

x < 5

The solution of the given inequation is (-∞, 5).

Answered by Aaryan | 1 year ago

Related Questions

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.

Class 11 Maths Linear Inequalities View Answer

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.

Class 11 Maths Linear Inequalities View Answer

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

Class 11 Maths Linear Inequalities View Answer

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

Class 11 Maths Linear Inequalities View Answer

Solve each of the following in equations and represent the solution set on the number line. 5x + 2 < 17, where

(i) x ϵ Z,

(ii) x ϵ R.

Class 11 Maths Linear Inequalities View Answer