Math Problem Statement

-9y > 9

Solution

To solve the inequality 9y>9-9y > 9, follow these steps:

  1. Divide both sides by -9:
    Since you are dividing by a negative number, remember to flip the inequality sign.
    y<99y < \frac{9}{-9}

  2. Simplify: y<1y < -1

The solution to the inequality is: y<1y < -1

Would you like more details on inequalities or another question?

Here are 5 related questions to explore:

  1. How do you solve inequalities with fractions?
  2. Can inequalities have multiple solutions?
  3. What happens when you multiply both sides of an inequality by a negative number?
  4. How can you graph solutions to inequalities on a number line?
  5. What's the difference between strict inequalities (>>) and non-strict (\geq)?

Tip: Always remember to reverse the inequality sign when multiplying or dividing both sides by a negative number!

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Math Problem Analysis

Mathematical Concepts

Algebra
Inequalities
Multiplication and Division with Inequalities

Formulas

Inequality Rule: Flip the inequality sign when multiplying or dividing by a negative number

Theorems

Properties of Inequalities

Suitable Grade Level

Grades 6-8