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不等式

Authored by Eli Tan

Mathematics

10th Grade

CCSS covered

Used 49+ times

不等式
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20 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

不等式 2x+3≥−x2+22x+3\ge-x^2+2  的x之值域是

 x≥1x\ge1  

 x≥−1x\ge-1  

 x>−1x>-1  

 x∈Rx\in R  

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

不等式 2x+3≥−x2+32x+3\ge-x^2+3  的x之值域是

 x<−2x<-2  或 x≥0x\ge0  

 x≤−2x\le-2  或 x≥0x\ge0  

 −2≤x≤0-2\le x\le0  

 x≤−2x\le-2  或 x≥0x\ge0  ,但 x≠−2x\ne-2  

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.7

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

不等式 2x+3≥−x2+42x+3\ge-x^2+4  的x之值域是

 x∈Rx\in R  

 x≥−1x\ge-1  

 x≤−1−2x\le-1-\sqrt{2}  或 x≥−1+2x\ge-1+\sqrt{2}  

 x≤−1+2x\le-1+\sqrt{2}  或 x≥−1−2x\ge-1-\sqrt{2}  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.4

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

不等式 (x+2)(2x−3)(x−5)≥0\left(x+2\right)\left(2x-3\right)\left(x-5\right)\ge0  的x之值域是

 x≥5x\ge5  或 x≤−2x\le-2  

 x≥5x\ge5  或 −2≤x≤32-2\le x\le\frac{3}{2}  

 32≤x≤5\frac{3}{2}\le x\le5  或 x≤−2x\le-2  

 x≥−2x\ge-2  或 x≥32x\ge\frac{3}{2}  或 x≥5x\ge5  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.3

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

不等式 −6(x−2)(5x−5)(3x+2)≥0-6\left(x-2\right)\left(5x-5\right)\left(3x+2\right)\ge0  的x之值域是

 x≥2x\ge2  或 −23≤x≤1-\frac{2}{3}\le x\le1  

 2≤x≤52\le x\le5  或 x≤−23x\le-\frac{2}{3}  

 1≤x≤21\le x\le2  或 x≤−23x\le-\frac{2}{3}  

 x≥5x\ge5  或 −23≤x≤2-\frac{2}{3}\le x\le2 

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.3

CCSS.HSA.APR.A.1

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

若 x+1x>x+1\frac{x+1}{x}>x+1  ,那么x的范围为?

 0<x<10<x<1  或 x<−1x<-1  

 0<x<10<x<1  

 x<1x<1  

 −1<x<1-1<x<1  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.CED.A.3

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

若 2x+3x+4≥x2x+4\frac{2x+3}{x+4}\ge\frac{x^2}{x+4}  ,那么x的范围为?

 −1≤x≤3-1\le x\le3  或 x≤−4x\le-4  

 −1≤x≤3-1\le x\le3  

 −1<x<3-1<x<3  或 x<−4x<-4  

 −1≤x≤ 3-1\le x\le\ 3  或 x<−4x<-4  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.REI.A.2

CCSS.HSA.APR.D.6

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