Question

Question 20 Solve the given inequality and show the graph of the solution on number line: x/2 ≥ (5x-2)/3 - (7x-3)/5

Class X1 - Maths -Linear Inequalities Page 122

Answer 1

x/2 ≥ (5x -2)/3 -( 7x -3)/5
take LCM in RHS

x/2 ≥ { 5(5x -2) - 3(7x -3)}/15

x/2 ≥ { 25x - 10 - 21x + 9}/15

x/2 ≥ (4x -1)/15

multiply 30 in both sides,

x/2 × 30 ≥ (4x -1)/15 × 30

15x ≥ 2(4x -1)

15x ≥ 8x -2

7x ≥ -2

x ≥ -2/7
e.g x €[ -2/7, -∞)

in number line : see attachment ! red part shows x≥ -2/7