Check sibling questions

Ex 6.1, 16 - Solve: (2x - 1)/3 >= (3x - 2)/4 - (2 - x)/5

Ex 6.1,  16 - Chapter 6 Class 11 Linear Inequalities - Part 2

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

Ex 5.1, 16 Solve the given inequality for real x: ((2π‘₯ βˆ’ 1))/3 β‰₯ ((3π‘₯ βˆ’ 2))/4βˆ’((2 βˆ’ π‘₯))/5 ((2π‘₯ βˆ’ 1))/3 β‰₯ ((3π‘₯ βˆ’ 2))/4 βˆ’((2 βˆ’ π‘₯))/5 ((2π‘₯ βˆ’ 1))/3 β‰₯ (5(3π‘₯ βˆ’ 2) βˆ’ 4(2 βˆ’ π‘₯))/(4(5)) ((2π‘₯ βˆ’ 1))/3 β‰₯ (15π‘₯ βˆ’ 10 βˆ’ 8 + 4π‘₯)/20 ((2π‘₯ βˆ’ 1))/3 β‰₯ (15π‘₯ + 4π‘₯ βˆ’ 10 βˆ’ 8 )/20 ((2π‘₯ βˆ’ 1))/3 β‰₯ (19π‘₯ βˆ’ 18 )/20 20 (2x – 1) β‰₯ 3 (19x – 18) 40x – 20 β‰₯ 57x – 54 40x – 57x β‰₯ – 54 + 20 –17x β‰₯ –34 –x β‰₯ (βˆ’34)/( 17) –x β‰₯ βˆ’2 Since x is negative, we multiply both sides by βˆ’1 & change the signs (– 1) Γ— (–x) ≀ (–1) Γ— (–2) x ≀ 2 Hence, x is a real number which is less than or equal to 2 Hence, x ∈ (β€“βˆž, 2] is the solution

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.