Solving radical inequalities Test

3 + √(3x+12) ≤ 9

• [-4,8]
• (- ∞, 8]
• [-4,-2]
• [4,6]

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

√(8x-16) ≥ 4

• [2,4]
• [2, +∞]
• [4,+∞]
• [-2,4]

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

2√(x-6)  +1 < 9

• [6,10)
• (-∞,22)
• [6, 22)
• (22, +∞)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

∛(x + 1) < 2

• [-1, 7)
• (- ∞, 7)
• [-1, 1)
• (7, + ∞)

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

∛(5x +4)  - 4 < 0

• [12, +∞)
• [ -⅘, 12)
• ( - ∞, - ⅘]
• ( -∞, 12 )

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.2

CCSS.HSA.REI.B.3

Solve. (2x-8)^2/3 = 4

• x = 8

• x = 0

• x = 7

• no solution

Tags

CCSS.HSA.REI.A.2

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

√(3x+1) > √(4x-2)

• [½, 3)
• [½, +∞)
• (-∞, 3)
• [- ⅓, ½]

• A
• B
• C
• D

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

• A
• B
• C
• D

 $-2+\sqrt{9-5x}\ge6$  Solve the inequality.

•  $x\le-11$  

• No solution

•  $x\le\frac{9}{5}$  

•  $-11\le x\le\frac{9}{5}$