Solving Multi-Step Inequalities Effectively

What should you do when you multiply or divide both sides of an inequality by a negative number?

• Keep the inequality symbol the same

• Add a constant to both sides

• Subtract a constant from both sides

• Flip the inequality symbol

In Example 1, after distributing, what is the next step?

• Combine like terms

• Divide by the coefficient

• Add a constant to both sides

• Subtract a constant from both sides

In Example 2, what should you do after distributing the negative three?

• Subtract a constant from both sides

• Divide by the coefficient

• Combine like terms

• Add a constant to both sides

In Example 3, what is the result of dividing both sides by a negative number?

• The inequality symbol stays the same

• The inequality symbol flips

• The constant is eliminated

• The coefficient is eliminated

In Example 4, what is the final inequality after solving?

• x is less than or equal to 3

• x is less than 3

• x is greater than or equal to 3

• x is greater than 3

In Example 5, what should you do after combining like terms?

• Multiply by the coefficient

• Divide by the coefficient

• Subtract a constant from both sides

• Add a constant to both sides

In Example 6, what is the result of dividing both sides by a negative number?

• The inequality symbol flips

• The coefficient is eliminated

• The inequality symbol stays the same

• The constant is eliminated

In Example 7, what is the final inequality after solving?

• r is greater than 1

• r is greater than or equal to 1

• r is less than or equal to 1

• r is less than 1

In Example 8, what should you do after distributing the negative two?

• Add a constant to both sides

• Combine like terms

• Subtract a constant from both sides

• Divide by the coefficient

In Example 9, what is the final inequality after solving?

• m is greater than 5

• m is less than 5

• m is greater than or equal to 5

• m is less than or equal to 5