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Assignment:Find the solution set of inequality abs((1.5x-2-sqrt(4-8.8x-0.55x^2))/1.4/x) >1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
abs ( ( 1.5 * x - 2 - sqrt ( 4 - 8.8 * x - 0.55 * x ^ 2 ) ) / 1.4 / x ) >1 (1)
From the definition field of √
4 - 8.8 * x - 0.55 * x ^ 2 ≥ 0 (2 )
From the definition field of divisor
x ≠ 0 (3 )
From inequality(1):
x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
-16.442318 ≤ x ≤ 0.442318
From inequality(3):
x < 0 或 x > 0
From inequalities (1) and (2)
-16.442318 ≤ x ≤ 0.442318 (4)
From inequalities (3) and (4)
-16.442318 ≤ x < 0 或 0 < x ≤ 0.442318 (5)
The final solution set is :
-16.442318 ≤ x < 0 或 0 < x ≤ 0.442318 Your problem has not been solved here? Please take a look at the hot problems !