Final answer:
The two ratios that are not equal to each other are given in options a (1:6 and 3:2) and b (2:14 and 12:6), because they do not simplify to the same value.
Step-by-step explanation:
The question asks which two ratios are not equal to each other. To determine this, one can simplify the ratios or convert them into fractions and see if they are equivalent.
- a. 1:6 is not equal to 3:2 as 1/6 ≠3/2.
- b. 2:14 can be simplified to 1:7, and 12:6 can be simplified to 2:1, which are not equivalent, so 2:14 is not equal to 12:6.
- c. 2:1 and 3:11 cannot be equivalent since their proportions are very different.
- d. 6:22 can be simplified to 3:11 which is equal to 3:11.
Therefore, the two ratios that are not equal to each other are the pairs presented in options a and b.