To solve the inequality \(-8 \geq -8x\), follow these steps:

### Step 1: Divide both sides by \(-8\)
Since we're dividing by a negative number, remember to **reverse the inequality sign**:

\[
\frac{-8}{-8} \leq \frac{-8x}{-8}
\]

This simplifies to:

\[
1 \leq x
\]

or equivalently:

\[
x \geq 1
\]

### Final Answer:
The solution is \(x \geq 1\).

Would you like more details on any step or another explanation?

Here are 5 related questions:
1. How do you solve inequalities with variables on both sides?
2. How do you graph the solution of an inequality like \(x \geq 1\)?
3. What happens when multiplying or dividing both sides of an inequality by a negative number?
4. Can you solve \( -5x + 3 \geq 2x - 7 \)?
5. How does solving inequalities differ from solving equations?

**Tip:** Always remember to reverse the inequality sign when you multiply or divide by a negative number!

Understand how to solve the inequality −8 ≥ -8x using algebraic steps. Learn the key concept of reversing the inequality when dividing by a negative number, suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation