Solving Two-Step Inequalities

Solving Two-Step Inequalities

Reminders:

• Goal: Get the variable by itself

• Start on the side with the variable

• What you do to one side, do to the other!

Multiple Choice

What is the opposite of addition?

• Subtraction

• Multiplication

• Division

Multiple Choice

What is the opposite of multiplication?

• Addition

• Subtraction

• Division

Tips for Solving!

• Add or subtract before multiply or divide

• Don't forget to flip your signs when you multiply or divide by a NEGATIVE on BOTH SIDES!

• Graph your answer when finished

Multiple Choice

Solve:

2x - 9 > 11

• x < 10

• x > 1

• x > 10

• x < 1

Graphing Tips

• Open circle: "greater than" or "less than"

• Closed circle: "or equal to" phrases

• Read your solution like a sentence. Graph towards the numbers that make it true!

Multiple Choice

What would a graph look like for this solution:

x > 10

• Open circle; shaded to the right

• Open circle; shaded to the left

• Closed circle; shaded to the right

• Closed circle; shaded to the left

Multiple Choice

Solve:

x/5 + 1 < 11

• x > 50

• x < 2

• x > 2

• x < 50

Multiple Choice

What would the graph look like for your solution?

x < 50

• Open circle; shaded to the right

• Closed circle; shaded to the right

• Closed circle; shaded to the left

• Open circle; shaded to the left

Multiple Choice

Solve:
 $-2x+3\ \le\ 13$  

•  $x\ \le\ -5$  

•  $x\ \le\ -8$  

•  $x\ \ge\ -5$  

•  $x\ \ge\ -8$  

Multiple Choice

 $x\ \ge\ -5$  

What would the graph look like for your solution?

• Closed circle; shaded to the left

• Closed circle: shaded to the right

• Open circle; shaded to the right

• Open circle; shaded to the left

Poll

What do you still need more practice with? Choose ALL that apply:

• Writing inequalities

• Solving one-step inequalities

• Solving two-step inequalities

• Graphing inequalities

• Reading and understanding inequalities