Two Step Inequalities

​Two Step Inequalities

​Solving Two Step Inequalities

• The variable must be alone or isolated on one side of the inequality.

• Isolate the variable by using inverse or opposite operations. ​

• Whatever you do to one side ​you must do to the other.

​Two Step Inequalities

​Solving Two Step Inequalities

• When you multiply or divide BY a negative number, the inequality sign is flipped.

Multiple Choice

True or False:

10 + 3k < 22

Answers in the solution set will be negative

• True

• False

• Solution has the < or the > sign. ​

• The number in the solution will be included in the solution set. ​

​Closed Circle

• Solution has the < or the > sign

• The number in the solution will ​not be included in the solution set.

​Open Circle

​Graphing Two Step Inequalities

Multiple Choice

Which graph matches the inequality $$-5x\ge-15$$  ?

Multiple Choice

-4x + 14 ≤ 54

• x ≥ - 10
• x ≤ -10
• x ≥ 10
• x ≤ 10

Multiple Choice

Match the graph with its inequality.

• 11 < a
• 11 > a
•  11 ≤ a
•  11 ≥ a

Multiple Choice

When graphing b< 6 would you use an open or closed circle?

• Open
• closed

Multiple Choice

What is our first Golden Rule for Inequalities?

• Isolate the Variable

• Shade Appropriately

• Check the Order

• Circle the Constant on a Graph

Multiple Choice

22 < 6c + 4

• 11 > c

• 3 > c

• 11 < c

• 3 < c

Multiple Choice

Solve and graph the inequality.
77 ≤ 5 + 8n

• A
• B
• C
• D

Multiple Choice

You flip an inequality symbol when you...

• subtract
• multiply and divide only
• multiple by a negative number
• multiple or divide by a negative number

Multiple Choice

Choose the correct graph that best describes the solution for each inequality x + 5 ≥ 29

• a
• b
• c
• d

Multiple Choice

Solve the inequality $$18<\frac{x}{4}-2$$  

• $$80<x$$  

• $$5<x$$  

• $$4<x$$  

• $$64<x$$  

Multiple Choice

Which 3 values would make $$-3<\frac{3}{4}x$$   true?

• -2, 0, 12

• -4, -7, -16

• 0, -7, 13

• 23, -4, -10

Multiple Choice

Solve for k. 

7k – 2 ≥ -9

• k ≤ -1
• k≤1
• k≥1
• k ≥ -1

Poll

How do you feel about two step inequalities?

• I feel confident!

• I feel good!

• I feel okay, but I could use more practice.

• I have no idea what I'm doing!!!!!