What is the solution set to the following inequality?

Question

16 ≤ 12x + 4 ≤ 20

a. 1 2/3 ≤ x ≤ 2

b. 12 ≤ x ≤ 16

c. 16 ≤ x ≤ 20

d. 1 ≤ x ≤ 1 1/3

Answer 1

Given inequality

16 ≤ 12x + 4 ≤ 20

Subtract 4 from the above inequality

16 - 4  ≤  12x + 4 - 4  ≤  20 - 4

12  ≤  12x  ≤  16

Devide total inequality with 12

12/12  ≤  (12x)/12  ≤  16/12

1  ≤  x  ≤  4/3

1  ≤  x  ≤  1 1/3

Answer :

Answer is option (d) i.e. 1  ≤  x  ≤  1 1/3