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☆1 inequalities
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Assignment:Find the solution set of inequality 60-sqrt((60-x)^2+10.5^2) >18 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
60 - sqrt ( ( 60 - x ) ^ 2 + 10.5 ^ 2 ) >18 (1)
From the definition field of √
( 60 - x ) ^ 2 + 10.5 ^ 2 ≥ 0 (2 )
From inequality(1):
19.333675 < x < 100.666325
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)
19.333675 < x < 100.666325 (3)
The final solution set is :
19.333675 < x < 100.666325 Your problem has not been solved here? Please take a look at the hot problems !