Which of these numbers is in the solution set of
x - 7 ≥ 9? Check all that apply.
To solve the inequality x - 7 ≥ 9, we can add 7 to both sides of the inequality to isolate the variable x:
x - 7 + 7 ≥ 9 + 7
Simplifying, we get:
x ≥ 16
Therefore, any number greater than or equal to 16 is in the solution set of the inequality x - 7 ≥ 9.
Checking the answer choices:
a. 5 - 7 = -2 < 9: Not in the solution set
b. 16 - 7 = 9 ≥ 9: In the solution set
c. 20 - 7 = 13 ≥ 9: In the solution set
d. 25 - 7 = 18 ≥ 9: In the solution set
Therefore, the numbers that are in the solution set of x - 7 ≥ 9 are:
b. 16
c. 20
d. 25