For which value of k does the function below have only one real solution? Use the format k=.. for your response?
|4 + 7x| -15 < k
- PuzzlingLv 71 month agoFavorite Answer
The absolute value will result in a non-zero value (0 or greater).
Then when you subtract -15, you'll get a value of -15 or greater.
In order to restrict that to a single value, the only choice is if you were looking for -15 exactly.
In other words, it would only return a single value if the sign were less than or equal to (≤) and k = -15.
|4 + 7x| - 15 ≤ -15
But the inequality symbol is less than (<). There is no way to pick just one single number that is bigger than -15. And also, you would end up having *two* values any way that would equal that result.
If the symbol were changed to ≤, then the answer would be k = -15. But as written there is no value of k that will work.
- 1 month ago
No value of k can give this a single real solution.