− 2 + 9 − 5 x ≥ 6 -2+\sqrt{9-5x}\ge6 − 2 + 9 − 5 x <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> ≥ 6 Solve the inequality.

x ≤ − 11 x\le-11 x ≤ − 1 1

x ≤ 9 5 x\le\frac{9}{5} x ≤ 5 9

− 11 ≤ x ≤ 9 5 -11\le x\le\frac{9}{5} − 1 1 ≤ x ≤ 5 9

Which of the following with ALWAYS give you a real number?

square root of a negative number

Given the inequality x − 1 < 5 \sqrt{x-1}<5 x − 1 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> < 5 , why is the solution NOT (-∞,26) ?

because the radicand must be greater than 0 and therefore x must be greater than 1

because 5 is not a perfect square

Solving radical inequalities Test

Quiz

•

Mathematics

•

10th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSA.REI.A.2, HSN.RN.A.2, 6.EE.B.8

+5

Standards-aligned

Bryan Hunter

Used 79+ times

FREE Resource

25 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

√(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

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

∛(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

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

∛(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

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

√(3x+1) > √(4x-2)

[½, 3)

[½, +∞)

(-∞, 3)

[- ⅓, ½]

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Solving radical inequalities Test

25 questions

3 + √(3x+12) ≤ 9

√(8x-16) ≥ 4

2√(x-6) +1 < 9

∛(x + 1) < 2

∛(5x +4) - 4 < 0

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

√(3x+1) > √(4x-2)

−2+9−5x≥6-2+\sqrt{9-5x}\ge6−2+9−5x​≥6 Solve the inequality.

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Popular Resources on Wayground

Discover more resources for Mathematics

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

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