Question

solve the inequality. graph the solution. 10. -6 < m - 5

Explanation:

Step1: Add 5 to both sides

To solve the inequality \(-6 < m - 5\), we add 5 to both sides of the inequality to isolate \(m\).

$$ -6 + 5 < m - 5 + 5 $$

Step2: Simplify both sides

Simplifying the left - hand side and the right - hand side:
The left - hand side \(-6 + 5=-1\), and the right - hand side \(m-5 + 5=m\). So we get \(-1-1\).

Answer:

The solution to the inequality is \(m > - 1\). To graph the solution, we draw a number line. We put an open circle at \(-1\) (because the inequality is strict, \(m\) is not equal to \(-1\)) and shade the region to the right of \(-1\) to represent all values of \(m\) that are greater than \(-1\).