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☆1 inequalities
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Assignment:Find the solution set of inequality C(3,2)*!(5)+abs(x)+log(3,27)*arcsin0.5 <5x+5 <56x >5^x^x ≥87 .
Question type: Inequality
Solution:
The inequality can be reduced to 4 inequalities:
C( 3 , 2 ) * !( 5 ) + abs ( x ) + log( 3 , 27 ) * arcsin 0.5 <5 * x + 5 (1)
5 * x + 5 <56 * x (2)
56 * x >5 ^ x ^ x (3)
5 ^ x ^ x ≥87 (4)
From inequality(1):
x > 2.892699
From inequality(2):
x > 0.098039
From inequality(3):
0.017866 < x < 1.680347
From inequality(4):
x ≤ -1.665781 或 x ≥ 1.665781
From inequalities (1) and (2)
x > 2.892699 (5)
From inequalities (3) and (5)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (6)
From inequalities (4) and (6)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (7)
The final solution set is :
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range!Your problem has not been solved here? Please take a look at the hot problems !