I did some inequality problems can anyone tell me if I did them right i have problem and answer right below it

Question

I an fairly sure that I did the solving right but im not sure if I flipped the signs correctly. If anyone would briefly look over some of these and tell me if I have the inequality signs the right way I will greatly appreciate it.

1) -12> 24x
-1/2> x


2) -7k< 63
k> -9

3)8a -15 > 73
a> 11

4) 57 -4t > 13
t<11

5) -18 -5y > 52
y<-14

6) 14 -4y > 38
y < -6

7) 4(x+3) < 44
x< 8

8) 2 (m-3) +7 < 21
m<10

9) 4(n-2) -6 > 18
n>8

10) 9x+18>9x -27
x> -2.5

11) 6x -13 < 6(x-2)
x< 1/12

12) -12x+60+12x< 180
x= any real numbers

13) -21x+49 +21x>50
Not possible

Answer 1

Mostly correct, but 10 and 11 are wrong.

10) 9x + 18 > 9x - 27, subtract 9x from both sides:
<=> 18 > -27
true for all real numbers

11) 6x - 13 < 6(x - 2)
<=> 6x - 13 < 6x - 12
<=> -13 < -12
true for all real numbers

Answer 2

look over your work i think number four is wrong thats as far as i got 1 2 and 3 are correct

Answer 3

10 and 11, should be any real numbers