Question

can someone tell me what are the answers in the solution set of the inequality of √ x<4 ?

Answer 1

Should it be written as the following?
\[\sqrt{x}<4\]

Answer 2

@vinnv226 yes sorry , i dont know how to make that sign haha

Answer 3

If you want to isolate x, you want to square both sides, which will eliminate the square root. Once you square both sides you'll get:
\[x<16\]But remember, if we have a negative under the square root we'll have an imaginary number which can't be compared in magnitude to 4, so we need
\[x>0\] as well.

Answer 4

@vinnv226 so out of all of these answers it would just be x>0 and 16?

Answer 5

The solution set consists of all values greater than or equal to 0, and also less than 16.

Answer 6

so any number greater then 0 and less then 16 would be a valid answer?

Answer 7

Yes. If you'd like, you can check them by plugging them into the original and seeing if you get a true statement.

Answer 8

so only 16,0,9,4 are answers for this probelm?

Answer 9

16 can't be an answer, the solution set has to be less than 16. If you plug 16 into the original, you'll get 4<4 which is an untrue statement. The others are correct.

Answer 10

thank you so much!

Answer 11

You're welcome, glad I could help