Inequalities

Inequalities

Use this lesson to fill out your notes.

Inequalities

[write definition in notes] a statement that compares values as either less than, greater than, or equal to.

Inequality symbols and their meanings

(chart in notes)

Multiple Choice

True or False?

 $6<7$  

• True 

• False 

Multiple Choice

True or False?

 $8>10$  

• True 

• False 

Multiple Choice

True or False?

 $-4\le0$  

• True 

• False 

Multiple Choice

True or False? $-7<-8$  

• True 
  

• True, -8 is greater than -7

• False, -7 is is greater than -8

• False, -7 and -8 are equal to each other

Graphing Inequalities

• To graph and inequality: sketch a number line with the number indicated in the middle and the corresponding numbers on each side. 

• If the inequality has $>,<$  use an OPEN circle 

• If the inequality has  $\ge,\le$  use an CLOSED circle.

Multiple Choice

In the inequality: $t\ge5$  do you graphing using an open or closed circle? Explain. 

• open circle, because it does include the number 

• open circle, because it does not include the number 

• closed circle, because it does include the number 

• closed circle, because it does not include the number

Multiple Choice

To graphing the inequality, $p>-3$  Which direction will my graph point towards?

• point towards the right, to -2

• point towards the left, to -4

You have two examples on your notes to finish and then answer the the next set of questions

make sure your are reading and looking at your notes.

Multiple Select

2nd example: $x>-1$  

Select all that correctly describes the inequality. 

• any number less than -1 will make the inequality true.

• any number greater than -1 will make the inequality true 

• arrow point in the direction towards numbers that are greater than -1

• the graph would point towards numbers that less than -1

• when graphing use open circle

When the number comes before the symbol and variable:  $4\ge n$  

• Rearrange the order:

• write variable first 

• FLIP SYMBOL

• write number last, then graph!

DO THE PRACTICE IN YOUR NOTES

THERE ARE 5 AT THE BOTTOM OF THE PAGE!

Multiple Choice

Which graph matches the inequality
k < 3?

• A
• B
• C
• D

Multiple Choice

Match the graph with its inequality.

• a > 11
• a < 11
• a ≥ 11
• a ≤ 11

Multiple Choice

What inequality does the number line graph represent?

• x ≤ -4
• x ≥ -4
• x < -4
• x < 4

Multiple Choice

Match the graph with its inequality.

• b > –2
• b < –2
• b ≥ –2
• b ≤ –2

SOLVING ONE STEP INEQUALITIES

• STEP 1: Isolate the variable by performing the inverse operation on both sides of the inequality

• STEP 2: Graph!

• NOTE: IF YOU MULTIPLY OR DIVIDE BY A NEGATIVE TO ISOLATE THE VARIABLE, MUST ALSO FLIP SIGN!

Solving Two Step Equations

• move the constant term first by either addition or subtraction

• then isolate the variable by either multiplication or division

• DONT FORGET TO FLIP SIGN WHEN THE NUMBER COMES FIRST OR WHEN MULTIPLY/DIVIDE BY A NEGATIVE NUMBER

Complete the practice at the bottom of notes, answers will be posted on schoology, if you want to check!

NEXT ASSIGNMENT:

Practice Quizzizz, the code will be posted in schoology! FOR A GRADE! Once you are finished iReady till class ends!