SOLUTION: find the value for which 3(X + 8) <7x

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Question 1100824: find the value for which 3(X + 8) <7x
Answer by ikleyn(52919) About Me  (Show Source):
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In a normal mathematical language this assignment sounds this way: 

    Solve inequality 3(x+8) < 7x.



To solve it, first simplify

3x + 24 < 7x.


Then subtract 3x from borh sides. You will get

24 < 7x - 3x,   or  4x > 24.


Divide by 4 both sides. You will get

x > 24%2F4 = 6.


So, inequality  x > 6 is your solution.


For example,  x= 7  is the value  for which  3*(7+8) = 3*15 = 45   is less than 7*7 = 49, and your original inequality is satisfied.

Solved.