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