In which of the given sets of numbers are all the numbers solutions of 18 + 2x ≥ 36

A 9, 10, 11, 12

B 9, 8, 7, 6

C 8, 7, 6

D 0, 3, 9, 12

1 answer

A. 9, 10, 11, 12

To find the solutions, we need to plug in each number into the inequality and check if it satisfies the condition.

For A:
9: 18 + 2(9) ≥ 36
18 + 18 ≥ 36
36 ≥ 36
10: 18 + 2(10) ≥ 36
18 + 20 ≥ 36
38 ≥ 36
11: 18 + 2(11) ≥ 36
18 + 22 ≥ 36
40 ≥ 36
12: 18 + 2(12) ≥ 36
18 + 24 ≥ 36
42 ≥ 36

All of the numbers in set A are solutions to the inequality 18 + 2x ≥ 36.
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