Using the properties of inequality, justify both steps in solving the inequality m-717. (4 points) B I

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To solve the inequality \( m - 717 \), we need to clarify what you're trying to compare it to; however, I'll assume you want to solve the inequality \( m - 717 > 0 \) for the sake of this explanation.

Here's how to do it step-by-step, along with justifications for each step according to properties of inequality:

### Step 1: Add 717 to both sides
\[
m - 717 > 0
\]
**Justification:** This step is based on the **Addition Property of Inequality**, which states that if \( a > b \), then \( a + c > b + c \) for any \( c \). Here, we add 717 to both sides to isolate \( m \).

### Step 2: Simplify the inequality
\[
m > 717
\]
**Justification:** After performing the addition in Step 1, we simply simplify the expression to find the solution. The inequality sign remains the same because we did not reverse the inequality during the operation.

Thus, your final solution is:
\[
m > 717
\]

If, instead, you are comparing it to another value (instead of being greater than zero), let me know and I can adjust my explanation accordingly.