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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality a+2 >2*a-sqrt(a^2+a) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
a + 2 >2 * a - sqrt ( a ^ 2 + a ) (1)
From the definition field of √
x ^ 2 + x ≥ 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 ≥ 0
From inequalities (1) and (2)
a ≤ -1 或 a ≥ 0 (3)
The final solution set is :
a ≤ -1 或 a ≥ 0Your problem has not been solved here? Please take a look at the hot problems !