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Iracionalne nejednačine I

Authored by Maja Kostadinović

Mathematics

2nd Grade

Used 1+ times

Iracionalne nejednačine I
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10 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Broj svih celobrojnih rešenja nejednačine

 x2x+12<3x\sqrt{-x^2-x+12}<3-x  jednak je

 55  

 66  

 77  

 33  

 44  

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Skup svih rešenja nejednačine

 3x22x1>2(x1)\sqrt{3x^2-2x-1}>2\left(x-1\right)  jednak je

( ,13-\infty,-\frac{1}{3}  ]

( ,1-\infty,1 ) \cup  ( 5,+5,+\infty  )

[ 1,+1,+\infty  )

 (1,5)\left(1,5\right)  

( ,13-\infty,-\frac{1}{3}  ] \cup   (1,5)\left(1,5\right)  

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Rešenje nejednačine

 54xx2+2x+10\sqrt{5-4x-x^2}+2x+1\ge0  je

[ 2,1-2,1  ]

 (,1)\left(-\infty,-1\right)  ]

 (2,12)\left(-2,-\frac{1}{2}\right)  

[ 12,1-\frac{1}{2},1  ]

[ 1,321,\frac{3}{2}  )

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Rešenje nejednačine

 2x4<x22x2x-4<\sqrt{x^2-2x}  je

 (2,83)\left(2,\frac{8}{3}\right)  

( ,0-\infty,0  ]

( ,0-\infty,0  ] \cup   (2,83)\left(2,\frac{8}{3}\right)  

 (38,1)\left(\frac{3}{8},1\right)  

 (23,1)\left(-\frac{2}{3},1\right)  

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Koliko celobrojnih brojeva zadovoljava nejednačinu

 3x2+11x4<x+1\sqrt{3x^2+11x-4}<x+1  ?

 00  

 33  

 44  

 77  

 55  

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Broj celobrojnih rešenja nejednačine

 (x2+x6)6+5xx20\left(x^2+x-6\right)\sqrt{6+5x-x^2}\ge0  je

 33  

 55  

 77  

 66  

 88  

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Skup rešenja nejednačine

 3x+1x2+x2<1\sqrt{\frac{3x+1}{x^2+x-2}}<1  je

 (,2)(1,1)(3,+)\left(-\infty,-2\right)\cup\left(-1,1\right)\cup\left(3,+\infty\right)  

 (2,1)(13,1)\left(-2,-1\right)\cup\left(\frac{1}{3},1\right)  

( 1,13-1,\frac{1}{3}  ] \cup   (3,+)\left(3,+\infty\right)  

( 1,13-1,\frac{1}{3}  ]

 RR  

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