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