The given inequality is:

\[
-2 - 1n \geq -58
\]

Let's solve it step by step.

### Step 1: Isolate the variable term

To simplify, add 2 to both sides of the inequality:

\[
-1n \geq -58 + 2
\]

This simplifies to:

\[
-1n \geq -56
\]

### Step 2: Divide by the coefficient of the variable

Now, divide both sides by -1. When dividing an inequality by a negative number, you must flip the inequality sign:

\[
n \leq \frac{-56}{-1}
\]

\[
n \leq 56
\]

### Final Solution:
The solution to the inequality is:

\[
n \leq 56
\]

Would you like further details or have any questions?

Here are some related questions to expand on this:

1. How do you solve inequalities with multiple terms on both sides?
2. What happens to the inequality sign when multiplying or dividing by a negative number?
3. How do you represent the solution \(n \leq 56\) on a number line?
4. What is the difference between solving an equation and an inequality?
5. How do inequalities apply in real-world scenarios?

**Tip**: Always remember to flip the inequality sign when multiplying or dividing by a negative number.

Discover how to solve the inequality -2 - 1n ≥ -58 using algebraic methods. Learn the steps to simplify and isolate the variable while applying key inequality rules. This tutorial is suitable for students in Grades 6-8 and covers essential concepts like flipping the inequality when dividing by a negative number.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation