Question

Question 6 Solve the inequality 7 ≤ (3x+11) / 2 ≤ 11

Class X1 - Maths -Linear Inequalities Page 132

Answer 1

7≤ (3x + 11)/2 ≤ 11

multiply 2 into all sides,

7 × 2 ≤ (3x + 11)/2 × 2 ≤ 11 × 2

14 ≤ 3x + 11 ≤ 22

subtract 11 from all sides,

14 - 11 ≤ 3x +11 - 11 ≤ 22 -11

3 ≤ 3x ≤ 11

divide by 3 all sides,

3/3 ≤ 3x/3 ≤ 11/3

1 ≤ x ≤ 11/3 , hence, x€ [ 1 , 11/3]