Question

In which of the given sets of numbers are all the numbers solutions of 18+2x≥36 ?
Answer
Wrong
Answered by GPT 3.5
The inequality given is 18 + 2x ≥ 36.

To find the values of x that satisfy this inequality, we can solve for x.

Subtracting 18 from both sides of the inequality gives:
2x ≥ 36 - 18 simplifying gives:
2x ≥ 18

Dividing both sides of the inequality by 2 gives:
x ≥ 9

This means that any number that is greater than or equal to 9 is a solution.

Looking at the given sets of numbers:

A. {4, 6, 8} - None of these numbers are greater than or equal to 9. So, this set does not contain any solutions.

B. {9, 12, 16} - All of these numbers are greater than or equal to 9. So, this set contains all solutions.

C. {7, 10, 13} - Only the number 13 is greater than or equal to 9. So, this set contains 1 solution.

D. {2, 3, 4, 5} - None of these numbers are greater than or equal to 9. So, this set does not contain any solutions.

Therefore, the set of numbers in which all the numbers are solutions of 18+2x≥36 is B. {9, 12, 16}.