Final answer:
To sort the values into the respective inequalities, each number is checked against the conditions of being greater than 9 (Inequality A) and less than or equal to 54 (Inequality B). Values such as 17, 19, 29, and 27 satisfy both, while values like 1.5, 4.5, 0.3333, zero, and 0.6 only satisfy Inequality B. Others do not satisfy any listed inequality.
Step-by-step explanation:
To determine which values satisfy the given inequalities, we'll consider each value individually and place it under the inequality it solves, if any.
Inequality A: x > 9
The values that satisfy this condition are those greater than 9. So we need to look for any provided numbers that are larger than 9.
Inequality B: x ≤ 54
Any value that is 54 or less will satisfy this inequality. We will include numbers that are equal to 54, as well as those that are lower.
- Value 17: This value satisfies both Inequality A and Inequality B because it is greater than 9 and less than or equal to 54.
- Value 19: Same as 17, this number is also a solution to both inequalities.
- Value 29: It also satisfies both Inequality A and Inequality B.
- Value 27: This number fits the criteria for both inequalities as well.
- Value 6: This number only satisfies Inequality B as it is not greater than 9.
Values 1.5, 4.5, 0.3333, zero, and 0.6 do not satisfy Inequality A because they are not greater than 9, but they do satisfy Inequality B as they are less than or equal to 54. Therefore, they should be listed under that inequality.
Any value not explicitly listed above, such as 'bis 12,' and any other non-numeric values do not satisfy any of the given inequalities and should remain unclassified.