Answer:
1. x>18 2.x<-18 3. x>21 4. x>-7 5. x<2 6. x>-2 7. x<12 8.x<-6
Explanation:
1. x/2>9 Pretend the inequality is an equal sign...
x/2=9 *2 x=18
If x>18; 20>18
20/2 = 10
10>9 so it works
If x<18 10<18
10/2 = 5
5<9 so it dosent
2. x/-2>9
x/-2=9
x=-18
If x>-18
0>-18
0/-2=0
0<9 so it doesent work.
x<-18; x=-20
-20/-2=10
10>9 So it works
3. x-7>14 --> x-7=14 ---> x=21
If x>21; x=22 --> 22-7=15; 15>14 (it works)
If x<21; x=20 --> 20-7=13; 13<14 (so it does not work)
4. x-7>-14 --> x-7=-14 --> x=-7
If x>-7; x=0 ---> 0-7=-7 --> -7>14 (so it works)
If x<-7; x=-10 ---> -10-7=-17 --> -17<14 (so it does not work)
5. 5x<10 --> 5x=10 --> x=2
If x>2 x=3 --> 5*3=15 15>10 (does not)
If x<2 x=1 --> 5*1=5 5<10 (works)
6. -5x<10 -5x=10 x=-2
If x<-2 x=-3 -3*5=-15 -15<10 (no)
If x>-2 x=0 5*0=0 0<10 (works)
7. x-3<9 x-3=9 x=12
if x>12 x=13 13-3=10 10>9
If x<12 x=10 10-3=7 7<9 (works)
8. x-3<-9 x-3=-9 x=-6
if x>-6; x=13; 13-3=10 10>-9
if x<-6 x=-10 -10-3=-13 -13<-9 (works)