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Assignment:Find the solution set of inequality √(R^2-468.72)+16-(√(R^2-240.25)) ≥37.5-26.846 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
√ ( R ^ 2 - 468.72 ) + 16 - ( √ ( R ^ 2 - 240.25 ) ) ≥37.5 - 26.846 (1)
From the definition field of √
x ^ 2 - 468.72 ≥ 0 (2 )
From the definition field of √
x ^ 2 - 240.25 ≥ 0 (3 )
From inequality(1):
R ≤ -28.604802 或 R ≥ 28.604802
From inequality(2):
R ≤ -√11718/5 或 R ≥ √11718/5
From inequality(3):
R ≤ -31/2 或 R ≥ 31/2
From inequalities (1) and (2)
R ≤ -28.604802 或 R ≥ 28.604802 (4)
From inequalities (3) and (4)
R ≤ -28.604802 或 R ≥ 28.604802 (5)
The final solution set is :
R ≤ -28.604802 或 R ≥ 28.604802Your problem has not been solved here? Please take a look at the hot problems !