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Assignment:Find the solution set of inequality sqrt(9.8*((6+2*b)/(6+b))) ≤0.8 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( 9.8 * ( ( 6 + 2 * b ) / ( 6 + b ) ) ) ≤0.8 (1)
From the definition field of divisor
6 + x ≠ 0 (2 )
From the definition field of √
9.8 * ( ( 6 + 2 * x ) / ( 6 + x ) ) ≥ 0 (3 )
From inequality(1):
b ≤ -2.898734
From inequality(2):
b < -6 或 b > -6
From inequality(3):
b ≤ -6 或 b ≥ -3
From inequalities (1) and (2)
b < -6 或 -6 < b ≤ -2.898734 (4)
From inequalities (3) and (4)
b < -6 或 -3 ≤ b ≤ -2.898734 (5)
The final solution set is :
b < -6 或 -3 ≤ b ≤ -2.898734Your problem has not been solved here? Please take a look at the hot problems !