SOLUTION: solve the inequality. thanks! 5(4-z)+5z-6>3z-8+1

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Question 64688: solve the inequality. thanks!
5(4-z)+5z-6>3z-8+1

Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
QUESTION:
solve the inequality.
5(4-z)+5z-6>3z-8+1

ANSWER:


5(4-z)+5z-6>3z-8+1



Remove the parenthesis,



5*4- 5*z + 5z - 6 > 3z -8 + 1



20- 5z + 5z - 6 > 3z -8 + 1



20- 6 > 3z -8 + 1


14 > 3z - 7


Add 7 to both sides of the equation,



==> 14 + 7 > 3z - 7 + 7


==> 21 > 3z


Divide both sides by 3 ( because here 3 is multiplied by z)


==> 21/3 > 3z/3



==> 7 > z



So the value of z is less than 7


Hope you understood.



Regards.
Praseenakos@yahoo.co.in