Solving Multi-Step Inequalities

What is the main difference between solving multi-step equations and multi-step inequalities?

• There is no difference.

• Inequalities require the use of the distributive property.

• Equations require graphing the solution.

• Inequalities have a special rule when multiplying or dividing by a negative number.

In the inequality 5x + 3 < 2x - 9, what is the first step after simplifying any parentheses?

• Move the variables to one side.

• Add the same number to both sides.

• Move the constants to one side.

• Divide both sides by a number.

After moving the variables to one side in the inequality 5x + 3 < 2x - 9, what is the resulting inequality?

• 3x + 3 < 9

• 5x + 3 < 9

• 5x + 3 < -9

• 3x + 3 < -9

What is the final solution to the inequality 5x + 3 < 2x - 9?

• x < -4

• x > -4

• x >= -4

• x <= -4

When graphing the solution x < -4, what type of dot is used on -4?

• Closed dot

• Half-filled dot

• Open dot

• No dot

In the inequality 2(x - 2) >= 4x - 1, what is the first step?

• Use the distributive property.

• Move the variables to one side.

• Divide both sides by a number.

• Move the constants to one side.

After using the distributive property in 2(x - 2) >= 4x - 1, what is the resulting inequality?

• 2x - 4 <= 4x - 1

• 2x + 4 >= 4x - 1

• 2x - 4 >= 4x - 1

• 2x + 4 <= 4x - 1

What is the final solution to the inequality 2(x - 2) >= 4x - 1?

• x > -3/2

• x <= -3/2

• x < -3/2

• x >= -3/2

When graphing the solution x <= -3/2, what type of dot is used on -3/2?

• Half-filled dot

• Closed dot

• No dot

• Open dot

Which number is used to verify the solution of the inequality 2(x - 2) >= 4x - 1?

• -3

• -2

• -4

• -1