The solution to the inequality, -2 > m/6 - 7, is m < 30. The graph of m < 30 is shown below.
How to solve and graph the solution of an inequality?
To solve the inequality -2 > m/6 - 7, you can follow these steps:
1. Add 7 to both sides to isolate the fraction:
-2 + 7 > m/6 - 7 + 7
5 > m/6
2. Multiply both sides by 6 to get rid of the fraction:
30 > m
So, the solution to the inequality is m < 30.
Since m is less than 30, we represent the solution by an open circle at 30 and an arrow extending to the left as shown in the graphed number line.
Complete Question:
Solve the inequality. Graph the solution.
-2 > m/6 - 7