Question

Question 9 Solve the given inequality for real x: x+ x/2 + x/3 <11

Class X1 - Maths -Linear Inequalities Page 122

Answer 1

★ LINEAR INEQUALITIES ★
REDUCING LINEAR INEQUALITIES AT THEIR MAXIMUM EXTENT HERE , AND IN OTHER FEW CASES ; GENERALITY HAS BEEN USED UPTO PROPER EXTENDS
AS BEING CAREFUL WHILE CHOOSING INTEGRAL SOLUTIONS OF THE RESPECTIVE INEQUALITY

★✩★✩★✩★✩★✩★✩★✩★✩★✩★✩★

Answer 2

x + x/2 + x/3 < 11
x { 1 + 1/2 + 1/3 } < 11
x{ (6 + 3 + 2)/6} < 11
x (11/6) < 11
11x/6 < 11
divide by 11 both sides,
x/6 < 1
multiply with 6 both sides,
x < 6 , hence, x € (-∞, 6)
in number line :
-∞ ________5_____6________∞
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