SOLUTION: 20-(3x+5)<5(x-3)+2x solve and put into interval notation

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Question 655058: 20-(3x+5)<5(x-3)+2x
solve and put into interval notation

Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
Treat the inequalit as an equality and follow the rules of inequality that govern the arityhmetic operations.
Given:
(1) 20-(3x+5) < 5(x-3) + 2x
Evaluate the () first to get
(2) 20 - 3x - 5 < 5x - 15 + 2x or
(3) 15 - 3x < 7x - 15 or
(4) 15 + 15 < 7x + 3x or
(5) 30 < 10x or
(6) 3 < x or
(7) x > 3
To check use (1)
Is (20-(3*3+5) < 5(3-3)+2*3)?
Is (20-14 < 6)?
Is (6<6)? Yes