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Non-linear inequalities (one variable)

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Mathematics

KG - 12th Grade

Non-linear inequalities (one variable)
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20 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Solve the following radical inequality algebraically: √(9x + 10) > 11

x > 11

x = 12.3333

x < 12.3333

x > 12.3333

2.

DRAG AND DROP QUESTION

30 sec • 1 pt

For a square root inequality equation, you must first​ (a)   and then solve ​ (b)   equations: one of them is the original equation, and the other is the part under the radical set greater than or equal to ​ (c)   .

isolate the radical
two
zero
three
square both sides

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 2x+83 < 2\sqrt{2x+8}-3\ <\ 2  

Solve:

(- \infty  , 4.5)

[-4, \infty  )

[-4, 4.5)

(-4, 4.5)

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

3 + √(3x+12) ≤ 9

[-4,8]
(- ∞, 8]
[-4,-2]
[4,6]

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt


Solve Radical Inequality
 3x+1>4x2\sqrt{3x+1}>\sqrt{4x-2}  

 12x<3\frac{1}{2}\le x<3  

 x12x\ge\frac{1}{2}  

 13x<3-\frac{1}{3}\le x<3  

 13x12-\frac{1}{3}\le x\le\frac{1}{2}  

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Given the inequality x1<5\sqrt{x-1}<5  , why is the solution NOT (-∞,26) ?

because 5 is not a perfect square

because 5+1 = 6 and not 26

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

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

[-4,8]

(- ∞, 8]

[-4,-2]

[4,8]

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