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Assignment:Find the solution set of inequality 10000/(X+10.3)+10000/(X+20.6) ≤150 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
10000 / ( X + 10.3 ) + 10000 / ( X + 20.6 ) ≤150 (1)
From the definition field of divisor
x + 10.3 ≠ 0 (2 )
From the definition field of divisor
x + 20.6 ≠ 0 (3 )
From inequality(1):
X ≤ -20.6 或 -15.648623 ≤ X ≤ -10.3 或 X ≥ 118.081956
From inequality(2):
X < -103/10 或 X > -103/10
From inequality(3):
X < -103/5 或 X > -103/5
From inequalities (1) and (2)
X ≤ -20.6 或 -15.648623 ≤ X < -103/10 或 X ≥ 118.081956 (4)
From inequalities (3) and (4)
X < -103/5 或 -15.648623 ≤ X < -103/10 或 X ≥ 118.081956 (5)
The final solution set is :
X < -103/5 或 -15.648623 ≤ X < -103/10 或 X ≥ 118.081956Your problem has not been solved here? Please take a look at the hot problems !