## Trending News

Promoted

Anonymous

# 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

### 2 Answers

Relevance

- 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.

Answer:

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.

Still have questions? Get your answers by asking now.