Answer: A
Explanation:
To find the number that is not part of the solution set to the inequality x - 13 ≥ 24, we can solve the inequality and check each given option.
Starting with the inequality:
x - 13 ≥ 24
Adding 13 to both sides, we get:
x ≥ 37
Now we can check each option to see which one is not a valid solution:
A. 36:
36 - 13 = 23, which is not greater than or equal to 24. Therefore, 36 is not a solution to the inequality.
B. 37:
37 - 13 = 24, which is equal to 24. 37 is a valid solution to the inequality.
C. 42:
42 - 13 = 29, which is greater than or equal to 24. Therefore, 42 is a valid solution to the inequality.
D. 59:
59 - 13 = 46, which is greater than or equal to 24. Therefore, 59 is a valid solution to the inequality.
From the given options, the number that is not part of the solution set to the inequality x - 13 ≥ 24 is:
A. 36