Inequalities
Interval Notation
Facts/Graphs
Interval Notation
Inequalities
100

Express the following interval as an inequality
[3, 5]

3 ≤ x ≤ 5

100

(4 - 62)÷ [4(2 + 3) - 4]

-2

100

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

Open

100

Write the following in interval notation
 x < 8

(-∞, 8)

100

Write the following solution as in inequality

(-∞,-2]

 x ≥ -2 

200

(3 - 5)÷ 4 + (8 - 3)2

26

200

Express the following in Interval Notation
-9 < x ≤ -4

(-9,-4]

200

This is a horizontal boundary.

What is domain?

200

Write the following in interval notation
x ≥ 100

[100, ∞)

200

Write the following solution as an inequality

(10, ∞)

 y > 10 

300

Express the following interval as an inequality
(14, 19)

14 < x < 19

300

Express the following in Interval Notation
-9 < x < -8.5

(-9, -8.5)

300

When writing in interval notation, what kind of brackets do I use for:

or ≤ or ≥

[] Brackets

300

Name something at home that people often run out of.

  1. Milk (30)
  2. Toilet paper (29)
  3. Bread (18)
  4. Eggs (13)
  5. Hand soap (10)
300

What makes you healthy and strong?

  1. Eating vegetables (30)
  2. Drinking your milk (27)
  3. Drinking water (20)
  4. Playing outside (14)
  5. A good night’s sleep (9)
400

Express the following interval as an inequality
(-63, ∞)

-63 < x 

400

Write the following in interval notation
-7 ≤ x < 8

[-7, 8)

400

This is a vertical boundary.

What is range?

400

Look at the Graph. Write the inequality in interval notation.

[-4, -1)

400

Write the list of numbers included in this set
(22, 25]

23, 24, 25



500

(-∞,12) can be written as an inequality

x <12

500

Look at the graph. Write the inequality in interval notation.

(-∞,-2)⋃(5,∞)

500

Look at the picture. Which graph best represents the solution set (-∞, -2) U (5, ∞)?

Graph 1

500

Write the following in interval notation
{x < 3 or x ≥ 5}

(-∞, 3) or [5, ∞)

500

This is >

What is greater than?

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