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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 3.96/2y+3.96/(y+0.5)+2.5/y+3.5/y+3.5/(y+0.05) <100 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
3.96 / 2 * y + 3.96 / ( y + 0.5 ) + 2.5 / y + 3.5 / y + 3.5 / ( y + 0.05 ) <100 (1)
From the definition field of divisor
x + 0.5 ≠ 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From the definition field of divisor
x ≠ 0 (4 )
From the definition field of divisor
x + 0.05 ≠ 0 (5 )
From inequality(1):
y < -0.5 或 -0.467578 < y < 0 或 0.08847 < y < 50.370516
From inequality(2):
y < -1/2 或 y > -1/2
From inequality(3):
y < 0 或 y > 0
From inequality(4):
y < 0 或 y > 0
From inequality(5):
y < -1/20 或 y > -1/20
From inequalities (1) and (2)
y < -0.5 或 -0.467578 < y < 0 或 0.08847 < y < 50.370516 (6)
From inequalities (3) and (6)
y < -0.5 或 -0.467578 < y < 0 或 0.08847 < y < 50.370516 (7)
From inequalities (4) and (7)
y < -0.5 或 -0.467578 < y < 0 或 0.08847 < y < 50.370516 (8)
From inequalities (5) and (8)
y < -0.5 或 -0.467578 < y < -1/20 或 -1/20 < y < 0 或 0.08847 < y < 50.370516 (9)
The final solution set is :
y < -0.5 或 -0.467578 < y < -1/20 或 -1/20 < y < 0 或 0.08847 < y < 50.370516 Your problem has not been solved here? Please take a look at the hot problems !