Solving Inequalities/Interval Notation

Solve and write your answer in interval notation.

 $a-6\le15+8a$  

• [-3, ∞)

• (-∞, -3]

• (3, ∞)

• (-3, ∞]

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve and write your answer in interval notation.

 $28-7x\le-4\left(-7x-7\right)$  

• (0, ∞)

• [0, ∞)

• (0, ∞]

• (-∞, 0]

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

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

Express the following interval as an inequality:

[3, 5]

• 3 ≤ x ≤ 5

• 3 < x ≤ 5

• 3 ≤ x < 5

• 3 < x < 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Express the following interval as an inequality:

(-7, 15]

• -7 ≤ x ≤ 15

• -7 < x ≤ 15

• -7 ≤ x < 15

• -7 < x < 15

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

What interval notation does the number line graph represent?

• [∞, -5)
• (∞, -5)
• [-5, ∞)
• (-5, ∞)

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Solve the following inequality.  Express the solution in interval notation:        

5z - 2 < 13 + 2z

• (5, ∞)

• (-∞, 5)

• (1, ∞)

• (-∞, 1)

Tags

CCSS.HSA.REI.B.3

Which is a solution of...

5(v + 3) > 10v - 10

• (-∞, 5)

• (5, ∞)

• (-5, ∞)

• (-∞, -5)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve the following inequality:
 $5-\left(4x-5\right)\le30$  

• x ≤ -5

• x < 10

• x ≥ -5

• x ≥ 10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve 

 $-2x+3\left(-4x+6\right)\le116$  

• x ≤ -7

• x ≥ 29

• x ≥ -7

• x ≤ 29

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3