Question

Graph the solution to this inequality:

9(n + 3) < 10(n + 1)

Answer 1

To graph the solution to the inequality, we need to simplify it first.

9(n + 3) < 10(n + 1)

Expanding both sides of the inequality:

9n + 27 < 10n + 10

Subtracting 9n from both sides:

27 < n + 10

Subtracting 10 from both sides:

17 < n

The solution to the inequality is n > 17.

To graph this solution, we can start by plotting a number line and marking a "17" on it. Since the inequality is "n > 17," we will shade the number line to the right of 17.

|-------->-------------|
-∞ 17

The shaded region represents all the values of n that satisfy the inequality.