Inequalities Review

Linear Inequalities

100

3x+5≤11

x≤ 2

200

-4<6x-10

x>1

300

20+1.5g≤50

g≤ 20

400

-x+12<14

x>-2

500

-x/3+5 ≥ -2

x≤ 21

"And" Inequalities

100

−1<9+x<17

−10<x<8

200

−50<7x+6<−8

−8<x<−2

300

8x+8>−64 and −7−8x>−79

x>−9 and x<9

400

-36<3p-6≤-15

−10<p≤−3

500

− 9x < 63 and x/ 4 < 1

-7<x<4

"Or" Inequalities

100

3x+5≤11 or 5x-7≥23

x≤2 or x≥6

200

-10x+3<-37 or 3x-10<-25

x>4 or x<−5

300

5z-3 > -18 or -2z-1>15

z>-3or z<-8

400

2x-3≤ -4 or 3x+1≥4

x≤-1/2 or x≥1

500

3(2x+5)≤18 and 2(x−7)>−6

x≤1/2 or x>4

Absolute Value Inequalities

100

|4x+5|>13

x<-9/2 x>2

200

|24-q|≤11

13≤ q≤ 35

300

|1/7y+2|-5>3

y<-70 or y>42

400

|x+1|≥-16

all real numbers

500

|2x-1|<-25

No solution. Absolute value cannot be less than 0