Final answer:
To find the values that make both inequalities true, we need to check each value in the set individually and see if it satisfies both inequalities.
Step-by-step explanation:
To find the values in the set {3, 5⅞, 6, 8.3, 9, 18} that make both inequalities true, we need to check each value individually.
For Inequality 1, we check if the value is greater than or equal to 9. The values that satisfy this inequality are 9 and 18.
For Inequality 2, we check if the value plus 13 is greater than 21. The values that satisfy this inequality are 5⅞, 6, and 8.3.
Therefore, the values that make both inequalities true are 5⅞, 6, and 9.