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History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality x^2 <5x+12 <100x/28 <2x+16
Question type: Inequality
Solution:
The inequality can be reduced to 5 inequalities:
x ^ 2 <5 * x + 12 (1)
5 * x + 12 <100 * x / 28 (2)
100 * x / 28 <2 * x + 16 (3)
2 * x + 16 < x + 150 (4)
x + 150 <5 * x / 3 (5)
From inequality(1):
-1.772002 < x < 6.772002
From inequality(2):
x < -42/5
From inequality(3):
x < 112/11
From inequality(4):
x < 134
From inequality(5):
x > 225
From inequalities (1) and (2)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (6)
From inequalities (3) and (6)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (7)
From inequalities (4) and (7)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (8)
From inequalities (5) and (8)
x ∈ Φ (Φ is empty)that is, the inequality will never be estatlished within the real number range! (9)
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 !