Question

What is the solution for n in the compound inequality 15 < n + 18 < 19, expressed as a compound inequality with integers?

Answer 1

To solve the compound inequality 15 < n + 18 < 19, we solve each inequality separately and find the intersection of their solutions. The compound inequality is -3 < n < 1 (expressed in integers).

Step-by-step explanation:

To solve the compound inequality 15 < n + 18 < 19, we need to solve each inequality separately and find the intersection of their solutions.

1. Solving the first inequality, we subtract 18 from all three parts of the inequality: -3 < n < 1.
2. Solving the second inequality, we subtract 18 from all three parts of the inequality: -3 < n < 1.
3. Finally, we find the intersection of the two solutions by finding the common values. Since the solutions of both inequalities are the same, the compound inequality is: -3 < n < 1 (expressed in integers).