Lesson: Introduction to Inequalities

Multiple Choice

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(you will need to take a picture and upload it at the end)

• YES I have my notebook out

• No, I know it means a bad grade

Introduction to Inequalities

Objective: Understand and graph inequalities

Multiple Select

WARM-UP

Which statements are true when comparing -13 and -4.

• -13 > -4
• -4 < -13
• -13 < -4
• -4 > -13

​VOCABULARY

​x = 5: "x equals 5" so x is 5

​

x < 5: "x is less than 5" so x is 4, 3, 2, 1 ,0, -1, -2 ...

​

x ≤ 5: "x is less than or equal to 5" so x is 5, 4, 3, 2, 1 ,0, -1, -2 ...

​

x > 5: "x is greater than 5" so x is 6, 7, 8, 9, 10, 11, 12 ...

​

x ≥ 5: "x is greater than or equal to 5" so x is 5, 6, 7, 8, 9, 10, 11, 12 ...

Match

Match the following inequalities with their translations.

• x < 5

• x > 5

• x < -5

• x > -5

x is less than five

x is greater than five

x is less than negative five

x is greater than negative five

• x is less than five

• x is greater than five

• x is less than negative five

• x is greater than negative five

​GRAPHICAL REPRESENTATIONS

​Example: x = 6

Example: x < 6

Example: x ≤ 6

Example: x > 6

Example: x ≥ 6

Match

Match the following word descriptions with their graph.

x is less than 12

x is greater than 12

x is less than or equal to 12

x is greater than or equal to 12

• x is less than 12

• x is greater than 12

• x is less than or equal to 12

• x is greater than or equal to 12

Match

Match the graph with the inequality.

x > 16

x < 16

x ≥ 16

x ≤ 16

• x > 16

• x < 16

• x ≥ 16

• x ≤ 16

​What if the variable is on the right?

​Circle rules are the same.

​You may want to rewrite it but it has to 'eat' the same number or variable.

​

​Example: 2 < x 

Multiple Select

Which inequalities represent the graph?

• x < -4

• x > -4

• -4 > x

• -4 < x

Match

Match the Inequality with its graph.

-5 < x

-5 > x

-5 ≥ x

-5 ≤ x

• -5 < x

• -5 > x

• -5 ≥ x

• -5 ≤ x

Open Ended

Take a picture of the notes you took for this lesson.