resolva a inequação, sendo U = Q 1-2x/5 + 6-3x/4 > 1-x/2
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MMC: 5 , 4 , 2| 2 2.2=4.5=20
5, 2 , 1 | 2
5, 1 , 1 | 5
1, 1 , 1
1-2x/5 + 6-3x/4 > 1-x/2
1-2x/20 + 6-3x/20 > 1-x/20
5 (1-2x) + 5 ( 6 - 3x ) > 10 (1 - x)
5-10x + 30 - 15x > 10 - 10x
10x -15x +10x > 10-30-5
-5x+10x>45
+10x>45
x> 45/10
x> 4,5
V= {x ∈ Q / x > 4,5}
5, 2 , 1 | 2
5, 1 , 1 | 5
1, 1 , 1
1-2x/5 + 6-3x/4 > 1-x/2
1-2x/20 + 6-3x/20 > 1-x/20
5 (1-2x) + 5 ( 6 - 3x ) > 10 (1 - x)
5-10x + 30 - 15x > 10 - 10x
10x -15x +10x > 10-30-5
-5x+10x>45
+10x>45
x> 45/10
x> 4,5
V= {x ∈ Q / x > 4,5}
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