To find the solutions to the inequality 18 + 2x ≥ 36, we need to solve for x.
Let's solve the inequality step-by-step:
18 + 2x ≥ 36
Subtract 18 from both sides:
2x ≥ 18
Now, divide by 2 on both sides to solve for x:
x ≥ 9
So, any number greater than or equal to 9 will satisfy the inequality.
Looking at the given sets of numbers:
9, 8, 7, 6: Only 9 is greater than or equal to 9, so this set does not include all the numbers that are solutions.
8, 7, 6: None of these numbers are greater than or equal to 9, so this set does not include any solutions.
9, 10, 11, 12: All of these numbers are greater than or equal to 9, so this set includes all the numbers that are solutions.
0, 3, 9, 12: Only 9 and 12 are greater than or equal to 9, so this set does not include all the numbers that are solutions.
Therefore, the correct answer is:
Set: 9, 10, 11, 12
In which of the given sets of numbers are all the numbers solutions of 18+2x≥36 ?(1 point)
Responses
9, 8, 7, 6
9, 8, 7, 6
8, 7, 6
8, 7, 6
9, 10, 11, 12
9, 10, 11, 12
0, 3, 9, 12
1 answer