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☆1 inequalities
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Assignment:Find the solution set of inequality (b^2-b-1+sqrt(b^2-2*b-3))/b小于1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( b ^ 2 - b - 1 + sqrt ( b ^ 2 - 2 * b - 3 ) ) / b <1 (1)
From the definition field of √
x ^ 2 - 2 * x - 3 ≥ 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
b ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
b ≤ -1 或 b ≥ 3
From inequality(3):
b < 0 或 b > 0
From inequalities (1) and (2)
b ≤ -1 或 b ≥ 3 (4)
From inequalities (3) and (4)
b ≤ -1 或 b ≥ 3 (5)
The final solution set is :
b ≤ -1 或 b ≥ 3Your problem has not been solved here? Please take a look at the hot problems !