Which of the following values for n makes the inequality 2n−−√<5%0D%0A2%0D%0A%0D%0A<%0D%0A5%0D%0A true?
To solve the inequality, we need to simplify it first.
2n-√<5
Next, we can add the square root to both sides to isolate n.
2n < 5 + √2
Now, subtract 5 from both sides.
2n - 5 < √2
Finally, divide both sides by 2 to solve for n.
n < (5 + √2)/2
Therefore, the value for n that makes the inequality true is any value that is less than (5 + √2)/2.