SOLUTION: I don't know how to solve the following inequality: 3x-2 over x+3 is less than or equal to 2

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Question 763272: I don't know how to solve the following inequality: 3x-2 over x+3 is less than or equal to 2
Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
Solve
(1) %283x-2%29%2F%28x%2B3%29%3C=+2
Start by multiplying both sides of the inequality by the denominator (x+3) and get
(2)%28x%2B3%29%2A%283x-2%29%2F%28x%2B3%29%3C=+2%2A%28x%2B3%29 or
(3)%283x-2%29%3C=+2x+%2B6 or
(4)x+%3C=+2%2B6 or
(5)x+%3C=+8
Check this with x ={0,8,10}
Is (%283%2A0-2%29%2F%280%2B3%29%3C=+2) True?
Is (-2%2F3%3C=+2) True? Yes
Is (%283%2A8-2%29%2F%288%2B3%29%3C=+2) True?
Is (22%2F11%3C=+2) True? Yes
Is (%283%2A10-2%29%2F%2810%2B3%29%3C=+2) True?
Is (28%2F13%3C=+2) True? No
Solution: x+%3C=+8