Question

7n-5<93

Question: Solve the inequality and graph its solution

Answer 1

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):

`\[(7n)/(7) < (98)/(7)\]`

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.