Solving 2-Step Inequalities: Key Concepts and Techniques

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

• Keep the inequality symbol the same

• Add a negative sign to the result

• Reverse the inequality symbol

• Subtract a negative sign from the result

In the first inequality example, what is the first step to isolate the variable X?

• Add 2 to both sides

• Subtract 2 from both sides

• Multiply both sides by 4

• Divide both sides by 4

When graphing the solution to the first inequality, what type of dot is used at the number 4?

• Closed dot

• Open dot

• No dot

• Double dot

In the second inequality example, what operation is performed after adding 1 to both sides?

• Subtract 1 from both sides

• Multiply both sides by -4

• Divide both sides by -4

• Add 4 to both sides

What happens to the inequality symbol when you multiply both sides by a negative number in the second example?

• It disappears

• It becomes an equal sign

• It reverses

• It stays the same

In the third inequality example, what is the result of adding 5 to both sides?

• Negative 3

• Positive 3

• Zero

• Negative 8

What is the final step in solving the third inequality example?

• Multiply both sides by -2

• Add 2 to both sides

• Subtract 5 from both sides

• Divide both sides by -2

In the fourth inequality example, what is the result of multiplying both sides by 5?

• X is greater than or equal to 20

• X is less than or equal to 20

• X is greater than or equal to -20

• X is less than or equal to -20

In the final example, what is the result of subtracting 5 from both sides?

• Negative 1

• Negative 6

• Positive 6

• Zero

What is the final inequality solution in the last example?

• X is less than or equal to 72

• X is greater than or equal to 72

• X is less than 72

• X is greater than 72