Which of the following values for n makes the inequality 2n−−√<5 true?(1 point) Responses 8 8 18 18 16 16 12.5
To solve the inequality 2√n < 5, we need to isolate n. We can do this by dividing both sides of the inequality by 2:
2√n/2 < 5/2
√n < 2.5
Next, we square both sides of the inequality to remove the square root:
(√n)² < (2.5)²
n < 6.25
Therefore, the value of n that makes the inequality true is any number that is less than 6.25.
None of the given options (8, 18, 16, 12.5) are less than 6.25, so there is no solution among the given choices.