Vocab/Translate
Inequalities Basics
Interval notation
Inequality Notation
100

Set of input values, or x-values

domain
100

name the four inequality symbols

greater than, less than, greater than or equal to, less than or equal to

100

Give the interval notation for

-3 < x < 4

(-3, 4)

100
write the inequality notation

[ -2, 4 )

-2 ≤ x < 4 

200

a point on the graph where y=0 and crosses the x-axis

x-intercept

200

What inequality symbols do you use an open circle with

<    >

200

write the interval notation:

x > 0

[0, ∞)

200

write the inequality notation

[5,8]

5 ≤ x ≤ 8

300

the highest output that a function reaches on its graph (hill)

maximum value

300

When using interval notation, how do we represent a closed circle

 [    ]   brackets

300

Give interval notation:

 –3 ≤ x ≤ 7

[ -3, 7 ]

300

write the interval notation

( -6, 7 )

-6 < x < 7

400

set of output values, or y-values

range

400

these inequality signs use this type of circle

    ≤ or ≥

closed circle

400

Give interval notation: –1 < x ≤ 6

(-1,6]

400
write the interval notation 

(4, 10]

4 < x ≤ 10

500

a notation used to write a range of numbers using parentheses and brackets

interval notation

500

Draw the graph for 

x > 4

open circle at 4 going to the right

500

write the interval notation

-3 < x < 9

(-3, 9) 

500

Solve:

-2|x+ 5| + 8 = 6 

{-6, -4}