Question

Which set of x values will always make the inequality true? x ≥ 6

a) {2, 3 1/2, 6, 7 2/3}
b) {6.5, 7 1/2, 8, 9 2/3}
c) {9, 8 1/2, 7 2/3, 6}
d) {9, 8, 7 1/2, 6 1/4}

Answer 1

Option b) {6.5, 7 1/2, 8, 9 2/3} is the set of x values that will always make the inequality x ≥ 6 true.

Step-by-step explanation:

To determine which set of x values will always make the inequality x ≥ 6 true, we need to find the set of numbers that are greater than or equal to 6. Looking at the given options, we can see that option b) {6.5, 7 1/2, 8, 9 2/3} contains only numbers that are greater than or equal to 6. Therefore, option b) is the correct answer.