Answer:
Your answer is: x ≥ 6
Explanation:
The inequality 3x ≥ 18 represents a range of values for x that make the inequality true. Specifically, it means that the value of x is three times greater than or equal to 18.
When we solve the inequality by dividing both sides by 3, we find that x is greater than or equal to 6. Any value of x greater than or equal to 6 will satisfy the inequality.
For example, if we choose x = 6, when we substitute this value into the inequality, we get:
3(6) ≥ 18
18 ≥ 18
Since 18 equals 18, this confirms that x = 6 satisfies the inequality.
Similarly, if we choose a value greater than 6, such as x = 10, when we substitute this value into the inequality, we get:
3(10) ≥ 18
30 ≥ 18
Since 30 is greater than 18, this confirms that x = 10 satisfies the inequality.
On the other hand, if we choose a value less than 6, such as x = 4, when we substitute this value into the inequality, we get:
3(4) ≥ 18
12 ≥ 18
Since 12 is less than 18, x = 4 does not satisfy the inequality.
In summary, the solution to the inequality 3x ≥ 18 is x ≥ 6. Any value of x greater than or equal to 6 will make the inequality true.