SOLUTION: Hello out there,I need some help with some tough problems,the first one is,Solve the inequality:18<6y-12(for that,I got two different answers,y>150and y>1).The next one is,Solve th

Question 95568: Hello out there,I need some help with some tough problems,the first one is,Solve the inequality:18<6y-12(for that,I got two different answers,y>150and y>1).The next one is,Solve the inequality:2b-12>13.The third one is,Solve the inequality:3h+6<33.And the last one is,Solve the inequality:-1/4v>12.Thanks for whoever can help.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
I have no idea how you got those answers, here's how I would do it:
:
Solve the inequality:18 <6y - 12
:
You can write this one this way:
6y - 12 > 18
6y > 18 + 12; add 12 to both sides
6y > 30
y > 30/6; divide both sides by 6
y > 5
:
:
Solve the inequality:
2b - 12 > 13
2b > 13 + 12
2b > 25
b > 25/2
b > 12.5
:
:
Solve the inequality:
3h + 6 < 33
3h < 33 - 6
3h < 27
h < 27/3
h < 9
:
:
Solve the inequality:
-1/4v > 12
Here we want the variable (v) to be positive, multiply both sides by -1
When we do this we must, reversed the inequality sign
(1/4)v < -12
v < -12*4: multiply by 4 to get rid of the denominator
v < -48
:
Let's check this one by using substitution substitute -49 which is < -48:
-(1/4)v > 12
-(1/4)(-49) > 12
Remember minus times a minus is a plus
+12.25 > 12, which is true
:
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