(1 point)

Fill in the Blank
2n > 14
n > _____

7

7

To find the value that should be filled in the blank to make the inequality true, we need to isolate the variable n on one side of the inequality sign.

Given the inequality 2n > 14, we want to get rid of the coefficient in front of n (which is 2). To do that, we divide both sides of the inequality by 2. Remember, when dividing or multiplying an inequality by a negative number, we switch the inequality sign. However, in this case, we are dividing by a positive number, so we don't need to switch the sign.

Dividing both sides by 2, we get:
(2n) / 2 > 14 / 2
n > 7

Therefore, the value that should be filled in the blank to make the inequality true is n > 7.