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Solving inequalities

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Why does 2x - 4 ≤ 5x + 8 is x ≥ -4 and not the invert?

I mean, why can't I do this :
2x - 4 ≤ 5x + 8
-12 ≤ 3x
-4 ≥ x
?
>>
>>9145262
There's no reason to flip the sign.
>>
>>9145268
So THAT's is the reason? Because if you divide with a negative number, you need to flip it, otherwise if you divide with a positive integer you do not flip it?
>>
>>9145275
Yes, you only flip it when you operate with a negative coefficient.
>>
>>9145262
It's common sense

1 < 1000
But -1 > -1000
Thread posts: 5
Thread images: 1


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