SOLUTION: i need help wit those problem numbers above: #28- 5(2h-6)-7(h+7)>4h #30- 3-3(b-2)<13-3(b-6) #32- 0.3(d-2)-0.8>4.4 #34- 5(x+4)-2(x+6)>_ 5(x+1)-1

Algebra ->  Inequalities -> SOLUTION: i need help wit those problem numbers above: #28- 5(2h-6)-7(h+7)>4h #30- 3-3(b-2)<13-3(b-6) #32- 0.3(d-2)-0.8>4.4 #34- 5(x+4)-2(x+6)>_ 5(x+1)-1      Log On


   

Question 125565: i need help wit those problem numbers above:
#28-
5(2h-6)-7(h+7)>4h
#30-
3-3(b-2)<13-3(b-6)
#32-
0.3(d-2)-0.8>4.4
#34-
5(x+4)-2(x+6)>_ 5(x+1)-1
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first one, and then you can follow the process to do the others:

5%282h-6%29-7%28h%2B7%29%3E4h

Distribute and remove parentheses:
10h-30-7h-49%3E4h

Collect like terms:
3h-79%3E4h


Add -4h to both sides:
3h-4h-79%3E0

Add 79 to both sides:
-h%3E79

Multiply both sides by -1. Since you are multiplying across an inequaltity by a negative number, you must reverse the sense of the inequality.
h%3C-79

Done.

Check the answer:
Pick something smaller than -79, like -80.

5%282%28-80%29-6%29-7%28-80%2B7%29%3E4%28-80%29

-800-30%2B511%3E-320

-319%3E-320, so something smaller works, now we have to check that something slightly larger DOESN'T work:

5%282%28-78%29-6%29-7%28-78%2B7%29%3E4%28-78%29

-780-30%2B497%3E-312

-313%3E-312 is a false statement. Answer checks