SOLUTION: I2-3x/6I greater than or equal to 5/3

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Question 506812: I2-3x/6I greater than or equal to 5/3
Found 2 solutions by lwsshak3, MathTherapy:
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
I2-3x/6I greater than or equal to 5/3
**
I2-3x/6I≥5/3
for (2-3x/6)≥0
2-3x/6≥5/3
6-9x≥30
-9x≥24
x≥-24/9
x≥-8/3
..
for (2-3x/6)≤0
-2+3x/6≤5/3
-6+9x≤30
9x≤36
x≤4
..
solution:
[-8/3, 4]

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
I2-3x/6I greater than or equal to 5/3

|%282-3x%29%2F6|_%3E=+5%2F3

%282+-+3x%29%2F6+%3E=+5%2F3_____OR_____%282+-+3x%29%2F6+%3C=+-+5%2F3

3%282+-+3x%29+%3E=+30_____OR____3%282+-+3x%29+%3C=+-+30 ------ Cross-multiplying

6+-+9x+%3E=+30_______OR_______6+-+9x+%3C=+-+30

-+9x+%3E=+24_______OR______-+9x+%3C=+-+36

highlight_green%28x+%3C=+-+%288%29%2F3%29_____ OR____ highlight_green%28x+%3E=+4%29

I will leave it up to you to substitute values such as - 3 (_%3C+%288%29%2F3), and 5 (_%3E+4) into the inequality to make it true

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