Inequalities & Interval Notation

Express the following in Interval Notation
 -8 ≤ x < 8 

• [-8, 8]
• [-8,8)
• (-8, 8]
• (-8, 8)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

Write the inequality in interval notation.

• (-2,5)
• (-∞,-2) or (5,∞)
• [-2,5]
• (-∞,-2] or [5,∞)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

When writing a solution in interval notation, what brackets do i use for:

> or <

• [ ]

• ( )

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

or ≤ or ≥

• [ ]

• ( )

Solve the following inequality:

3x + 2 < −4 or 4x + 4 > 24

• x < −2 or x > 5

• x < 2 or x > 5

• x < −2 and x > 5

• x < 2 and x > 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

What inequality is graphed?

• x > 2 and x ≤ −3

• x > 2 and x < −3

• x > 2 or x ≤ −3

• x > 2 or x < −3

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Solve the following compound inequality:

0 < x + 7 < 9

• −7 < x and x < 2

• −7 < x or x < 2

• −7 > x and x > 2

• −7 > x or x > 2

Tags

CCSS.HSA.REI.B.3

x + 8 < 3 or - 8x < -40 

• x > -5 or x < 5
• x < -5 and x > 5
• x < -5 or x > 5 
• x > -5 and x < 5 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve 24 > -3r > -9 

• -8 < r < 3
• -8 > r > 3
• r > - 8 and r > 3 
• r > -8 or r < 3

Tags

CCSS.HSA.REI.B.3

x + 5 > 7

• x > -2
• x > 2
• x > 12
• x > -12

Tags

CCSS.7.EE.B.4B