How do I do these math inequalities (homework)?

Question

-8m-6<10

8p+1(greater than or equal to)17

24(greater than or equal to)5z-6

8>2+b/3

Answer 1

-8m -6 < 10

add 6 to both sides
you get -8m < 4
divide by -8 ( ps whenever you divide or multiply by a negative the sign flips around)
you get m > -1/2


8p + 1(>than or = to) 17
subtract 1 from both sides
you get 8p (> than or = to) 16
divide each side by 8
you get p ( > than or = to) 2


24 ( > or = to) 5z -6
add 6 to both sides
you get 30 ( > or = to) 5z
divide both sides by 5
you get 6 ( > or = to) z


8> 2 + b/3

subtract 2 from both sides
you get 6 > b/3
multiply both sides by b
you get 6b > 3
divide both sides by 6
you get b > 1/2


If you have any ?'s about this let me know by adding details to your ?.

Answer 2

Let's see... on the first problem, m is any positive number. On the second problem, p is 2 or greater. On the third problem, z is 6 or greater. On the fourth problem, b is 12 or less.

Answer 3

-8m+6<10
-8m<4
m>-1/2

8p+1=>17
8p=>16
p=> 2

24=>5z-6
30=>5z
6=>z

8>2+b/3
6>b/3
18>b