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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 10000/x+10000/(x+16+52)+10000/(x+24+52)*4 <= 350 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
10000 / x + 10000 / ( x + 16 + 52 ) + 10000 / ( x + 24 + 52 ) * 4 <= 350 (1)
From the definition field of divisor
x ≠ 0 (2 )
From the definition field of divisor
x + 16 + 52 ≠ 0 (3 )
From the definition field of divisor
x + 24 + 52 ≠ 0 (4 )
From inequality(1):
x ≤ -76 或 -69.70597 ≤ x ≤ -68 或 -18.343605 ≤ x ≤ 0 或 x ≥ 115.478146
From inequality(2):
x < 0 或 x > 0
From inequality(3):
x < -68 或 x > -68
From inequality(4):
x < -76 或 x > -76
From inequalities (1) and (2)
x ≤ -76 或 -69.70597 ≤ x ≤ -68 或 -18.343605 ≤ x < 0 或 x ≥ 115.478146 (5)
From inequalities (3) and (5)
x ≤ -76 或 -69.70597 ≤ x < -68 或 -18.343605 ≤ x < 0 或 x ≥ 115.478146 (6)
From inequalities (4) and (6)
x < -76 或 -69.70597 ≤ x < -68 或 -18.343605 ≤ x < 0 或 x ≥ 115.478146 (7)
The final solution set is :
x < -76 或 -69.70597 ≤ x < -68 或 -18.343605 ≤ x < 0 或 x ≥ 115.478146Your problem has not been solved here? Please take a look at the hot problems !