SOLUTION: I am 50 years old and I am taking a online math course online and i cannot figure out this with the fractions in it: Solve each inequality. Give the solution set in both interval

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Question 5732: I am 50 years old and I am taking a online math course online and i cannot figure out this with the fractions in it:
Solve each inequality. Give the solution set in both interval and graph forms.
7/5(10z-1)<2/3(6z+5)

Answer by Abbey(339) About Me  (Show Source):
You can put this solution on YOUR website!
the easiest way to handle any kind of fraction problems is to clear the denominator by multiplying the entire equation.
7%2F5%2A%2810z-1%29%3C%282%2F3%29%2A%286z%2B5%29
first clear the parentheses:
70z%2F5-7%2F5%3C12z%2F3%2B10%2F3
then multiply through by 15:
210z-21%3C60z%2B50
subtract 60z from both sides:
150z-21%3C50
add 21 to both sides:
150z%3C71
divide both sides by 150:
z%3C71%2F150
(-infinity,71/50)