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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1/(x-6.371*10^6)-1/x >5.965/6.371/4/10^12 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
1 / ( x - 6.371 * 10 ^ 6 ) - 1 / x >5.965 / 6.371 / 4 / 10 ^ 12 (1)
From the definition field of divisor
x - 6.371 * 10 ^ 6 ≠ 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
x < 0
From inequality(2):
x ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
From inequality(3):
x < 0 或 x > 0
From inequalities (1) and (2)
x < 0 (4)
From inequalities (3) and (4)
x < 0 (5)
The final solution set is :
x < 0Your problem has not been solved here? Please take a look at the hot problems !