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Solve 0.9x+6<1.3x-9
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try subtracting 0.9x on both sides
giving you 6<1.3x-0.9x-9
add 9 to both sides
9+6<1.3x-0.9x
15<.4x
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15/.4<x
or x>15/.4
.4=4/10 so 15/(4/10)=15 dividedby 4/10=15*10/4= 15*5/2=75/2
so x>75/2
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