Students often get Solve: -9x - 23 ≤ -9 wrong. Let's look at the most common mistakes and how to avoid them when working with inequalities.

Quick Answer

x ≥ 14/-9

Step-by-Step Solution

Step 1: Move -23

Step 2: -9x ≤ 14

Step 3: Divide by -9 (flip!)

Why This Works

This problem uses inequalities. The key idea is to perform the same operation on both sides to keep the equation balanced. Each step brings you closer to isolating the unknown variable.

Understanding Inequalities

Inequalities is a fundamental concept in math. Mastering it gives you a strong foundation for more advanced topics.

Common Mistakes to Avoid

❌ Mistake 1: Forgetting to apply the same operation to both sides of the equation.

❌ Mistake 2: Making sign errors when moving terms across the equals sign.

❌ Mistake 3: Not simplifying the final answer completely.

Practice Similar Problems

• Calculate: 5/11 × 3/11
• Calculate: 5/12 ÷ 4/2

Frequently Asked Questions