The solution to the inequality, 7n - 5 < 93, is n < 14, and the graph is attached below.
How to graph the inequality solution?
Given the inequality 7n - 5 < 93, follow these steps:
1. Add 5 to both sides of the inequality:
7n - 5 + 5 < 93 + 5
7n < 98
2. Divide both sides by 7 (since the coefficient of n is 7):
![\[(7n)/(7) < (98)/(7)\]](https://img.qammunity.org/2024/formulas/mathematics/high-school/fpq6f2ew0f76rii147momigpn0b4j35bi3.png)
n < 14
So, the solution to the inequality is n < 14, and the graph is shown below.. Now, let's graph this on a number line. The interval represented by the inequality is all real numbers less than 14, excluding 14 itself.