Free Printable linear inequalities

1.

if $a>b$ , which of the following is true

a)

$a-3<b-3$

b)

$-2a>-2b$

c)

$\frac{a}{4}<\frac{b}{4}$

d)

$-\frac{a}{2}<-\frac{b}{2}$

2.

一个不等式组中的两个不等式的解集在数轴上的表示如图所示，则这个不等式组的解集为

what is the solution set same as the diagram

a)

$-1\le x<2$

b)

$-1<x\le2$

c)

$-1<x<2$

d)

无解

3.

the following system inequalities

$x\le1$

$x+2<1$

what is greatest integer of the solution

a)

-2

b)

-1

c)

0

d)

1

4.

if the system inequalities

$x>2$

$x<m$

has no solution, what is the range of m

a)

$m=2$

b)

$m<2$

c)

$m\le2$

d)

not determined

5.

the solution set of the system inequalities

$x>-1$

$x\ge2$

$x<5$

is :

a)

$x\ge2$

b)

$-1<x<5$

c)

$2\le x<5$

d)

no solution

6.

solve the inequality

$\frac{a+2}{2}+\frac{2a-1}{3}\ge\frac{5a+2}{6}+1$

a)

$x\ge2$

b)

$x\ge-2$

c)

$x\ge\frac{1}{2}$

d)

$x\ge-\frac{1}{2}$

7.

the solution set of the inequality

$\frac{4x-1}{3}-1\ge\frac{1-x}{2}$

is

a)

no solution

b)

$x\ge\frac{7}{11}$

c)

$x\ge\frac{11}{5}$

d)

$x\ge1$

8.

which of the following system inequalities whos solution set is

$2<x<3$

a)

$x>2$

$x>3$

b)

$x<2$

$x>3$

c)

$x>2$

$x<3$

d)

$x<2$

$x<3$

9.

which diagram shows the solution set of the system inequalities

$x+1\le0$

$2x+3<5$

a)

A

b)

B

c)

C

d)

D

10.

There are three numbers $a,\ 1+a,\ -a$ located on the number line from left to right, find the range of "a"

a)

$a<-\frac{1}{2}$

b)

$a<0$

c)

$a>0$

d)

$a>\frac{1}{2}$

11.

the system inequalities

$3x+1>0$

$2x<5$

how many integer solutioin?

a)

1 integer solution

b)

2 integer solutions

c)

3 integer solutions

d)

4 integer solutions

12.

what is(are) integer value(s) of x which satisfy the inequality 6x－2≥3x－4, and $\frac{2x+1}{3}-\frac{1-2x}{2}<1$

4 lines

13.

there are 4 inequalities:

A: $x>1$

B: $x>4$

C: $x<2$

D: $2-x>-1$

choose tow of them to form as a system inequalities with a positive integer solition of "2"

a)

A, B

b)

B, C

c)

C, D

d)

A, D

14.

if the system inequalities

$2x-a<1$

$x-2b>3$

has the solution set of $-1<x<1$ , then the value of $\left(a+1\right)\left(b-1\right)$ is

(a)

15.

solve the inequalities

$2x<1-x\le x+5$

4 lines

linear inequalities

Total questions: 15

Worksheet time: 31mins

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