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☆1 inequalities
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Assignment:Find the solution set of inequality (18000/(21X+1120))^2+(3000/(3500+7X))^2 <100^2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 18000 / ( 21 * X + 1120 ) ) ^ 2 + ( 3000 / ( 3500 + 7 * X ) ) ^ 2 <100 ^ 2 (1)
From the definition field of divisor
21 * x + 1120 ≠ 0 (2 )
From the definition field of divisor
3500 + 7 * x ≠ 0 (3 )
From inequality(1):
X < -61.905172 或 X > -44.761525
From inequality(2):
X < -160/3 或 X > -160/3
From inequality(3):
X < -500 或 X > -500
From inequalities (1) and (2)
X < -61.905172 或 X > -44.761525 (4)
From inequalities (3) and (4)
X < -500 或 -500 < X < -61.905172 或 X > -44.761525 (5)
The final solution set is :
X < -500 或 -500 < X < -61.905172 或 X > -44.761525Your problem has not been solved here? Please take a look at the hot problems !