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nierówności kwadratowe

Mathematics

10th Grade

Used 59+ times

nierówności kwadratowe
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7 questions

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1.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

  5x23x05x^2-3x\le0  

 x(,0><35,+)x\in\left(-\infty,0>\cup<\frac{3}{5},+\infty\right)  

 x<0,35>x\in<0,\frac{3}{5}>  

 x(,35><0,+)x\in\left(-\infty,-\frac{3}{5}>\cup<0,+\infty\right)  

 x<35,0>x\in<-\frac{3}{5},0>  

brak rozwiązań

2.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

 2x28>02x^2-8>0  

 x(,2)(2,+)x\in\left(-\infty,-2\right)\cup\left(2,+\infty\right)  

 x(2,2)x\in\left(-2,2\right)  

 x(4,4)x\in\left(-4,4\right)  

 x(,4)(4,+)x\in\left(-\infty,-4\right)\cup\left(4,+\infty\right)  

 xRx\in R  

3.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

 (x2)20\left(x-2\right)^2\le0  

 xϕx\in\phi  

 xRx\in R  

 x(,2)(2,+)x\in\left(-\infty,2\right)\cup\left(2,+\infty\right)  

 x{2}x\in\left\{2\right\}  

 xR{2}x\in R-\left\{2\right\}  

4.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

 3(x+3)2>0-3\left(x+3\right)^2>0  

 xRx\in R  

 x{3}x\in\left\{-3\right\}  

 xϕx\in\phi  

 x(,3)(3,+)x\in\left(-\infty,-3\right)\cup\left(3,+\infty\right)  

 xR{3}x\in R-\left\{-3\right\}  

5.

MULTIPLE SELECT QUESTION

5 mins • 1 pt

 2x23x+4>02x^2-3x+4>0  

 x{7}x\in\left\{7\right\}  

 xRx\in R  

 xϕx\in\phi  

 x(,34)(94,+)x\in\left(-\infty,-\frac{3}{4}\right)\cup\left(\frac{9}{4},+\infty\right)  

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Zbiorem rozwiązań nierówności

x2 - 4x + 4 > 0 jest:

x = 2

brak rozwiązań

x = R

x = R \ { 2}

x(2,2)x\in\left(-2,2\right)

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Podaj rozwiązanie nierówności: x²+9>0

R

x=3, x=-3

(-3;3)

(3;∞)

nie ma rozwiązania

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