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History of Inequality Computation > Answer
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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 1 <2 <3 <4 <5 <= 5 >4 >3 >2 >1 .
Question type: Inequality
Solution:
The inequality can be reduced to 9 inequalities:
1 <2 (1)
2 <3 (2)
3 <4 (3)
4 <5 (4)
5 <= 5 (5)
5 >4 (6)
4 >3 (7)
3 >2 (8)
2 >1 (9)
From inequality(1):
∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(3):
∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(4):
∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(5):
∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(6):
∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(7):
∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(8):
∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(9):
∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
∈ R (R is all real numbers),that is, in the real number range, the inequality is always established! (10)
From inequalities (3) and (10)
∈ R (R is all real numbers),that is, in the real number range, the inequality is always established! (11)
From inequalities (4) and (11)
∈ R (R is all real numbers),that is, in the real number range, the inequality is always established! (12)
From inequalities (5) and (12)
∈ R (R is all real numbers),that is, in the real number range, the inequality is always established! (13)
From inequalities (6) and (13)
∈ R (R is all real numbers),that is, in the real number range, the inequality is always established! (14)
From inequalities (7) and (14)
∈ R (R is all real numbers),that is, in the real number range, the inequality is always established! (15)
From inequalities (8) and (15)
∈ R (R is all real numbers),that is, in the real number range, the inequality is always established! (16)
From inequalities (9) and (16)
∈ R (R is all real numbers),that is, in the real number range, the inequality is always established! (17)
The final solution set is :
∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!Your problem has not been solved here? Please take a look at the hot problems !