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解不等式及不等式组的练习题

初二数学不等式

解下列不等式:

(1)x -17<-5; (2)x 2

1

->-3; (3)x 327-

>11; (4)351+x >35

4

--x .

(5)3x +1>4; (6)3-x <-1;

(7)2(x +1)<3x ; (8)3(x +2)≥5(x -2); (5)21+x ≥3

1

2-x ;; (6)532-x ≤413-x .

(7)

2

2

-x —1<x-1 (8) 2x-1≥3(x-1)

(9)

3x-2x <5 (10) x-6>2x

(11)

2x >3

x

-1 (12) 2x -7>5-2x

(13)

231x ->1-2x (14) x -2

1

(4x -1)≤2

(15)10-3(x +6) ≤1; (16)21

(x -3)<1-2x ;;

(17)x >4-

22+x ; (18)3

1

2-x -4<-24+x . (19) 21-x +1≥4

x

(20) -1≤ (21) 312-x -215-x ≤1 (22)34x +3≥1-3

2

x

(23) 5x -1<3(x+1) (24)

421x +-10

31x ->-51

(25)

757+x -2>2(x+1) (26) x+2x +3

x

>11

(27) 312+x ≤-25+x (28) 2x -3

1

-x ≥1

(29) 2(-3+x)>3(x+2) (30)321x -≥6

34x -

(31) 212-x <2x (32) 2

5

-x +1>x -3 (33) 31x -2<1-51x (34) -5x +15

x ≤-1 (35) -2x +2≤3x

-1 (36) 312+x -62x ->2

1-x -1

初二数学不等式组

解下列不等式组:

(1)???≥-<-;112,22x x (2)?

??<-->+;31,

123x x

(3)??

?>->+;03,012x x (4)???<+≤-.

514,

02x x

(5)???<->+;131,1-

95x x (6)?

????->-≥-.12

2,32x

x x

(7)???-<-+>-;

421211,

1582x x x x (8)???->--<+;31052,932x x x x

(9)?????->-+<-;21

5123),12(334x x x x (10)?????<++-<-;13

12),2(34x x x x

(11)

312-x -2

1

5+x ≤1 (12) 2x-7<3(x -1) 5x-1<3(x+1) 34x +3≥1-3

2x

(13) 5x-2<3(x+1) (14) 3x-2<x+1

21x -1 ≥7-2

3x

x+5>4x+1

(15) x+3<5 (16) 2

x

+1<2(x -1) 3x-1>8 3x >5

2

+x

(17) x-1>2x (18) 2x+5<3(x+2)

2x +3<-3 21-x <3

x

(19) >+1 (20) x-

21≤41

< 3x +2

x

>-1

(21) 1+2x >3+x (22) 2-x ≤-1 5x ≤4x -1 3<x -1

(23) 3(x -1)<4x -2 (24) 21+32x ≤-2x +3

5 -5x >2

1

+x 3(x -1)<x -5 (25) 2

1

(x+3)<2 (26) x -3(x -2)≥4 22+x >33+x 3

21x

+>x -1

(27) -5<2x+1<6 (28)-1<1-51x <5

3

(29) -54

x <1 (30) 5x+1≥3(x+1) 212-x <-2x+25 21-x >3

1

2-x

(31) ???-<-≤-.

13112,

123x x x (32)

???

??<+<+;432

3,533x x

(33) ???????>-->-;232

,2

12x x x (34)

??

?>->+0

21,042x x .

(35)???≥->+424,

532x x (36)

??

?->--≥+;

62,

513x x

(37)

???+<+->+7859321234x x x

x (38)???+>+-≥8

)2(33

1

4x x x x

(39)???

?

?≤--->-4

)2(325312x x x x (40)??

???≥+--<--x x x x 323

8)1(31

(41)??

???<-+≤-012

)1(31x

x x (42)??

??

?<--≤-03

8

32

1x x x

(43)??

?

??>++-≤0

1232

x x x (44)?????+≥+<-4)2(3121x x x