Solving Multi-Step Inequalities

What is the main difference when dealing with more complicated inequalities?

• You always add a constant to both sides.

• You need to flip the inequality symbol in certain situations.

• The steps are completely different.

• You never need to graph the solution.

When must you flip the inequality symbol?

• When you add a positive number.

• When you subtract a positive number.

• When you multiply or divide by a positive number.

• When you multiply or divide by a negative number.

What is the third situation where you might flip the inequality symbol?

• When you solve for a variable.

• When you add a negative number.

• When you want to rewrite the inequality in the other direction.

• When you subtract a negative number.

In the example where y is isolated, what is the final inequality after solving?

• y is greater than -15.

• y is less than -15.

• y is greater than 15.

• y is less than 15.

What type of circle is used on the graph for the inequality y < -15?

• No circle.

• An open circle.

• A half-filled circle.

• A filled-in circle.

In the second example, what is the final inequality after solving for x?

• x is less than or equal to 6.

• x is greater than or equal to 6.

• x is greater than or equal to -6.

• x is less than or equal to -6.

What type of circle is used on the graph for the inequality x ≥ -6?

• A filled-in circle.

• An open circle.

• A half-filled circle.

• No circle.

In the word problem, what is the total amount of money needed for the summer camp?

• $92.86

• $500

• $1300

• $1800

How many weeks are left to save money for the summer camp?

• 14 weeks

• 16 weeks

• 12 weeks

• 10 weeks

How much money needs to be saved per week to reach the goal?

• $92.86

• $85.75

• $80.50

• $90.00