Final Answer:
The values that make the inequality k < 7 true are:
- -1, 2, 4, 6, 6.9, 6.99, 6.999
Step-by-step explanation:
In the inequality k < 7 , the variable k represents a value that must be less than 7 for the inequality to be true.
When analyzing the given values -1, 2, 4, 6, 6.9, 6.99, and 6.999 in comparison to 7, we find that all of these numbers are smaller than 7. Whether it's a negative integer (-1) or positive integers (2, 4, 6) or decimals (6.9, 6.99, 6.999), they all fall below the threshold of 7.
Even though some values are extremely close to 7, such as 6.999, they remain less than 7, satisfying the inequality k < 7 . However, when we reach the value 7 or any number greater than 7, the inequality k < 7 becomes false because those values are not less than 7. Therefore, the provided values that satisfy this inequality fall within the range from -1 to 6.999, inclusive.
Correct answer: -1, 2, 4, 6, 6.9, 6.99, 6.999