Math Problem Statement

−8≥-8x

Solution

To solve the inequality 88x-8 \geq -8x, follow these steps:

Step 1: Divide both sides by 8-8

Since we're dividing by a negative number, remember to reverse the inequality sign:

888x8\frac{-8}{-8} \leq \frac{-8x}{-8}

This simplifies to:

1x1 \leq x

or equivalently:

x1x \geq 1

Final Answer:

The solution is x1x \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 x1x \geq 1?
  3. What happens when multiplying or dividing both sides of an inequality by a negative number?
  4. Can you solve 5x+32x7-5x + 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!

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Math Problem Analysis

Mathematical Concepts

Inequalities
Linear Equations
Algebra

Formulas

Division of both sides of an inequality
Reversing the inequality when dividing by a negative number

Theorems

Reversal of inequality when multiplying or dividing by a negative number

Suitable Grade Level

Grades 7-9