"x" represents a set of numbers

Throughline: How can a letter represent an open interval of numbers?

15/03/2021: Monday - Class #

Write in notebook (important)

This is how we write the inequality signs:

An algebraic inequality, like x ≥ 2, is read as:

“x is greater than or equal to 2.” 

Multiple Choice

x > 5

• x is less than 5

• x is greater than 5

Multiple Choice

x < -2

• x is less than -2

• x is greater than -2

Multiple Choice

a < 45

• a is less than 45

• a is greater than 45

Multiple Choice

j  $\le$  -3

• j is less than or equal to -3

• j is greater than or equal to -3

Multiple Choice

b  $\ge$  0

• b is less than or equal to 0

• b is greater than or equal to 0

https://www.youtube.com/watch?v=dTwZ5N126gw

https://www.youtube.com/watch?v=nif2PKA9bXA

Some examples:

Is the circle open or closed?

How do you know if the circle is open or closed?

https://www.youtube.com/watch?v=RD4G0zXFolg

Let's try some:

2 minutes per question in notebooks

Draw the graph and write the answer in notebook:

is y greater than or less than?

y is greater than -2

 $y>-2$  

Draw the graph and write the answer in notebook:

is j less than or greater than??

j is greater than 4

 $j>4$  

Draw the graph and write the answer in notebook:

is g less than or greater than??

g is less than or equal to 2

 $g\le2$  

Draw the graph and write the answer in notebook:

is j less than or greater than??

j is greater than or equal to -1

 $j\ge-1$  

Draw the graph and write the answer in notebook:

is d less than or greater than??

d is less than or equal to -3

 $d\le-3$  

Multiple Choice

1. When you graph an inequality, you use a closed dot when you use which symbols?

• ≤, ≥

• <, >

• ≥, >

• ≤, <

Multiple Choice

2. When graphing an inequality, you use an open dot when you use which symbol?

• ≤, <

• ≥, >

• ≤, ≥

• <, >

Multiple Choice

3. Which inequality does the number line graph represent?

• x is less than or equal to 5

• x is greater than or equal to than 5

• x greater than 5

• x equals 5

Multiple Choice

4. Which inequality does the number line graph represent?

• k > 1

• k ≥ -1

• k ≥ 1

• k < -1

Multiple Choice

5. Which inequality does the number line graph represent?

• a is greater than -6

• a is less than or equal to -6

• a is greater than or equal to -6

• a is less than -6

Multiple Choice

6. Which inequality does the number line graph represent?

• y > 3

• y ≥ 3

• y ≥ -3

• y ≤ -3

Multiple Choice

7. Which inequality does the number line graph represent?

• w > -2

• w < 2

• w ≥ 2

• w ≤ -2